F(x) =3x+8 find the inverse of f(x)

Answers

Answer 1

Answer:

Step-by-step explanation:

Hi!

To find the inverse, first we express your function as:

y = 3x - 8

Then, we interchange x and y variables:

x = 3y - 8

From there, we isolate y:

x + 8 = 3y

x/3 + 8/3 = y

Then, the inverse, g(x) = (x+8)/3.

We can check this by getting g(f(x)):

(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.

This is correct by the definition of the inverse function.

You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.

If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).

This means g(y) = (y+8)/3, the same answer.

Hope this helps!


Related Questions

Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair. hurry

Answers

original correct coordinates of D : (7, 3)

x is the horizontal axis.y is the vertical axis.

Here Allie mistook the x and y axis completely oppositely.

→ First should be the x axis and then the y axis, (x, y)

Answer:

Step-by-step explanation:

Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.

Point A

4 units from the y-axis ⇒ x = 4

6 units from the x-axis ⇒ y = 6

A = (4, 6)

Point B

2 units from the y-axis ⇒ x = 2

9 units from the x-axis ⇒ y = 9

B = (2, 9)

Point C

0 units from the y-axis ⇒ x = 0

4 units from the x-axis ⇒ y = 4

C = (0, 4)

Point D

Allie has mixed up the x and y coordinates of D.

7 units from the y-axis ⇒ x = 7

3 units from the x-axis ⇒ y = 3

D = (7, 3)

Help!! It’s urgent I need help

Answers

7cm²+5cm²=10cm²

14cm+25cm=100cm

39=100

Find the area of the triangle (Help ASAP)

Answers

Answer:

72 squared meters

Step-by-step explanation:

triangle area= 1/2 bh

16 x 9 = 144

144 x 1/2 = 72

Hope this helps

Answer:

A = 72m



The sides we would need to multiply are:
9m x 16m

The formula for finding the area of a triangle is:
L x W X 1/2


9m x 16m =

9m x 10m = 90
9m x 6m = 54


90m + 54m = 144m

144m / 2 = ?m

? = 72m







Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Tell whether the ratios form a proportion. 14:8 and 28:10

Answers

Answer:

no

Step-by-step explanation:

14:8 = 14/8 = 7/4

28:10 = 28/10 = 14/5

Since the fractions are not equal, it is not a proportion.

Answer: no

The first four terms of a geometric sequence are 2, 6, 18 and 54.
What is the 8th term?

Answers

Answer:

take a common ratio which is 3 then from general thterm of G.P whose Gn=G1r^n-1 then G8=2×3^7=2×2187=4374 therefore G8=4374

[tex]\frac{\frac{1}{x}+ \frac{2}{x^{2} } }{x+\frac{8}{x^{2} } }[/tex]

Answers

Answer:

[tex] \frac{x + 2}{x {}^{3} + 8} [/tex]

Step-by-step explanation:

[tex] \frac{ \frac{1}{x} + \frac{2}{x {}^{2} } }{x + \frac{8}{x {}^{2} } } [/tex]

[tex] \frac{ \frac{x + 2}{x {}^{2} } }{ \frac{x {}^{3} + 8 }{x {}^{2} } } [/tex]

[tex] \frac{x + 2}{x {}^{3} + 8 } [/tex]

Jacob spent $34 on a magazine and seven notepads. if the magazine cost $6, then how much was each notepad?

Answers

Step-by-step explanation:

first you subtract 34 and 6 to get 28

now its 7 multiplyed by some number

each notepad 4 dollars cause 7x4=28

Answer:4 dollars

i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help i need help

Answers

Answer: 176 cubic cm

Step-by-step explanation:

Formula for finding volume is l x w x h

The first rectangle on the bottom:

2 x 2 x 8 = 32

The second rectangle next to it:

3 x 6 x 8 = 144

Now add the two values to get the volume of the figure

144 + 32= 176

Hi Please help!
Identify the RATE OF CHANGE and INITIAL VALUE from ONE of the equations listed.
A. y = 3x + 6
B. y = -7x + 5
C. y = 9x + 4

Answers

Answer:

C

Step-by-step explanation:

pls tell me if im right or wrong

The circumference of a circular ice
skating rink is 408.2 m.
What is the
approximate are of the skating rink? Use
3.14 for Pi. (10 points)

Answers

Answer:

13259.77 meters squared

Step-by-step explanation:

Generally, when finding the circumference of a circle, then formula is c=2*3.14*r (where r is the radius)

Substitute the given values

408.2= 2*3.14*r

R is 65

Now that we know that the radius is 65, the formula for the area of a circle is a=3.14*r^2

Substitute the given values

3.14*65^2

Therefore, the area of the circle is 13266.5 metres squared

AABC is equilateral.
AB = 11x and AC = 3x + 64.
=
PLEASE HELP

Answers

X= 8 because 11x= 3x + 64 since they are the same variable you can subtract 3x from 11x which gives you 8x so 8x = 64 and 8x/8= x and 64/8 = 8 so x=8

What is the lowest common denominator of 6,4,3,42?

Answers

Answer: 1

Step-by-step explanation: the lowest number they divide into evenly is 1

Which of the following statements about AB and AC is true?
C44)
A(-11)
-5
3
3 4 5
BIO4)
A. AB and AC are the same length
B. AC is longer than AB
OC. AB is longer than AC.
D. AC is 6 units lona.
PREVIOUS

Answers

Answer:

C. AB is longer than AC

Step-by-step explanation:

Using the distance formula, find the lengths of both AC and AB.

d=√((x_2-x_1)²+(y_2-y_1)²)

Find the average rate of change from x = 1 to x=5

Answers

Answer:

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Step-by-step explanation:

The owner of a computer store is offering a discount on a computer sold in the store.
Computer Sale!
Original Price: $598.00
25% off original price
8% tax applied after discount
owner offers a payment plan where the total cost of the computer is paid in 6 equal monthly payments.
Determine the amount of each monthly payment.
Show your work or explain your answer. please help me ASAP it is due is 20 mins please help i will mark brainlest for correct answer

Answers

Answer:

$ 80.73

Step-by-step explanation:

You can find the complete solution in the given attachment

HElppppppppppppPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

75 in^2

Step-by-step explanation:

two rectangles on the sides: 60 in^2

5x6 = 30

30x2 = 60

rectangle in the middle: 15in^2

5x3 = 15

altogether area: 75 in^2

60+15 = 75

Find n that makes this equation true.

4^4 + 4^4 + 4^4 + 4^4
________________ = 4^n
4^3 + 4^3

Answers

Answer:

4^4 + 4^4 + 4^4 + 4^4=20

4^3 + 4^3=128

I can't get the real answer

but what can

PLEASE HELP ME FAST


What number should both sides of the following equation be multiplied by to solve for g?
G/2=4
6
8
2
4

Answers

Answer:

2

Step-by-step explanation:

G/2 = 4

(G/2) × 2 = 4 × 2

G = 8

Answer the question below.

Answers

Answer:

Class B has much better scores than class A

Step-by-step explanation:

HELLO EVERYONE PLS ANSWER THIS QUESTIONS CAUSE I NEED THEM ASAP. Thank you to whoever answers

Answers

Answer:

1. The Dela Cruz family's water consumption for the month of June is 0000245 m³ land for the month of July, the reading is 0000280 m³. How much water was their water consumption for the month of July?

Answer: 35 cubic metre

________________________________

2. At P8.00 per cubic meter of water, how much was the basic bill for the period of August 2014 to September 2014 if the meter reading on September was 00001450 while the reading August was 00001480?

Answer: PHP 240

________________________________

3. The Duran family usually consumes 230 kwh monthly. They practiced conservation measures to save on the use of electricity. If the previous month's reading is 5680 and the present reading is 5950, what is the number of kwh used? Did they save electricity?

Answer: 270 kwh

________________________________

4.The previous reding of the water meter was 0000345 m. The present reading is 0000395 m³. How many cubic meters water was consumed?

Answer: 0000050 m³

________________________________

5.The previous reading of the electric meter was 2895 kwh and present reading is 3025 kwh. How many kilowatts of electricity was consumed?

Answer: 130

________________________________

A cylindrical specimen of cold-worked copper has a ductility (%el) of 25%. if its cold-worked radius is 10 mm, what was its radius (in mm) before deformation

Answers

The radius of the  copper specimen before deformation was 8 mm of a cylindrical specimen of cold-worked copper has a ductility (%el) of 25%. if its cold-worked radius is 10 mm

Given information:

Ductility (%el) of cold-worked copper = 25%Cold-worked radius = 10 mm

To find the radius of the copper specimen before deformation, we'll use the formula for calculating the ductility:

Ductility (%el) = ((Final radius - Initial radius) / Initial radius) * 100

Let's denote the initial radius as "r" (in mm). The final radius is 10 mm (after cold-working).

25% = ((10 - r) / r) * 100

Now, solve for "r":

25% = (10 - r) / r

Convert percentage into fraction:

25/100 = (10 - r) / r

Convert fraction into decimal:

0.25 = 10 - r/r

on Cross-multiplication gives:

 0.25r = 10 - r

Add r on both sides gives,

1.25r = 10

On dividing by 1.25 gives:

r = 8 mm

So, the radius of the copper specimen before deformation was 9.75 mm.

Learn more about radius here:

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9 ft
5 ft
5
5 ft
12 ft
7 ft
14 ft please help with this Question please I need it for homework

Answers

Answer:

I assume this is area.

5×7=35

12×9= 108

add 35 and 108 = 143

if this isn't area send a comment and I'll give the answer if it's something different

b + 1.5 = 6

solve the equation and find the value of the variable

Answers

The answer is 4.5. Because 6 minus 1.5 is equal to 4.5

Answer:

[tex]\boxed{\sf{b=4.5}}[/tex]

Step-by-step explanation:

To find the value of variable, you have to isolate the term of b from one side of the equation.

b+1.5=6

First, you subtract by 1.5 from both sides.

→ b+1.5-1.5=6-1.5

Solve.

Subtract the numbers from left to right.

⇒ 6-1.5=4.5

⇒ b=4.5

Therefore, the correct answer is b=4.5.

I hope this helps you! Let me know if my answer is wrong or not.

Answer QUICK! FOR 25 POINTS. First, determine the range of the data without the outlier.
Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range.

How Much Did It Rain Last Spring?

A number line labeled number of days each week ranges from 0 to 7 in increments of 1. It is titled how much did it rain last spring? Data are: 0, 1; 3, 3; 4, 3; 5, 3; 6, 2; 7, 1.
Number of Days Each Week
CLEAR CHECK
The range without the outlier is days.
The range with the outlier is days.
When we add an outlier, the range will never , but it may .

Answers

Answer:

12

Step-by-step explanation:

hope it helps

Answer:

Its 12

Step-by-step explanation:

PLEASE HELP!! I’LL GIVE BRAINLIEST!!


For problems 16-18, classify each triangle by its angles and sides. Mark the congruent sides with tick marks and the congruent angles with arc marks.

Answers

16 Angle classification : right angle

Side classificat : isoceles

17. Angle classification : acute angle

Side classification : equilateral

18 angle classification : obtuse angle

Side classification : scalene

16)

Angle classification: right angle

Side classification : isosceles

17)

Angle classification: acute angle

Side classification: equilateral

18)

Angle classification: obtuse angle

Side classification: scalene

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

16)

One angle = 90 degrees

So,

The other two angles' sum must be 90 degrees.

So,

Angle classification: right angle

Side classification : isosceles

17)

We see that all sides are equal.

So,

All angles must be equal and the sum is 180.

So,

Angle classification: acute angle

Side classification: equilateral

18)

One angle is greater than 90.

So,

Angle classification: obtuse angle

Side classification: scalene

Thus,

16)

Angle classification: right angle

Side classification : isosceles

17)

Angle classification: acute angle

Side classification: equilateral

18)

Angle classification: obtuse angle

Side classification: scalene

Learn more about triangles here:

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one fifth of a number is subtracted from four fifth of the same number if result is 9 what is the number ​

Answers

Answer:

the number is 15

Step-by-step explanation:

Multiple choice math question. Question #15

Answers

Answer:

that would also be car 1, because in a rotation like that its like you do a spin and come back to the same position, that is a 360 rotation.

Answer:

the answer is car 1

Step-by-step explanation:

Find the value of Y. Pleasee hellpp meeee

Answers

i'm pretty sure y=30

Answer:

y=30

Step-by-step explanation:

it equals 30 because 2y+y=90. So now you know 3y=90. divide both sides by 3 so you can isolate the y. 90/3=30.

I have 90 because of the right angle. That is a 90-degree angle.

Two hens lay two eggs in two minutes. If this is the maximum speed, what is the total number of hen needed to lay 500 eggs in 500 minutes

Answers

1 hen lays 1 egg in 2 minutes

You need 250 chickens

The total number of hen needed to lay 500 eggs in 500 minutes = 2

What is unitary method ?

"A process of finding the value of a single unit, and based on this value we can find the required value. "

For given question,

Two hens lay two eggs in two minutes.

This means, two hens lay 1 egg per minute

So, they lay 500 eggs in 500 minutes.

Therefore, the total number of hen needed to lay 500 eggs in 500 minutes = 2

Learn more about the unitary method here:

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What is the magnitude and direction of RS with tail and head points R(4, -6) and S(-2, 1)?
9.2 units, 49.4° north of west
10.4 units, 40.6° north of west
9.2 units, 49.4° south of east
10.4 units, 40.6° south of east

Answers

Using vector concepts, it is found that the correct option regarding the magnitude and the tail is given by:

9.2 units, 49.4° north of west

How do we find the vector, and what is it's magnitude?

To find them, we subtract the end coordinate by the start coordinate, hence:

RS = S - R = (-2, 1) - (4,-6) = (-6,7).

The magnitude is given by the square root of the sum of the squares of each coordinate, hence:

[tex]|RS| = \sqrt{(-6)^2 + 7^2} = \sqrt{85} = 9.2[/tex]

Considering a xy graph, the vector is decaying, that is, moving north of west, hence the correct option is:

9.2 units, 49.4° north of west

More can be learned about vectors at brainly.com/question/24606590

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