Find the inverse of each of the given funcions
fo) = 4x-12
51x)=
DONE
o

Find The Inverse Of Each Of The Given Funcionsfo) = 4x-1251x)=DONEo

Answers

Answer 1

Let y be f(x)

[tex]\\ \sf\longmapsto y=4x-12[/tex]

Swipe the values

[tex]\\ \sf\longmapsto x=4y-12[/tex]

Isolate y

[tex]\\ \sf\longmapsto 4y=x+12[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{x+12}{4}[/tex]

[tex]\\ \sf\longmapsto y=\dfrac{1}{4}x+3[/tex]

Hence.

[tex]\\ \sf\longmapsto f^{-1}(x)=\dfrac{1}{4}x+3[/tex]

Answer 2

Let y=f(x)

y=4x-12

Now interchange the variables

x=4y-12

The y we need now

x+12=4y

Divide both sides by 4

y=(x+12)/4

This is the inverse


Related Questions

Fill in the blank: 4(3x + ?) = 12x + 16
A) 4, B) 16, C) 12, D) 4x​

Answers

Answer:

A) 4

Step-by-step explanation:

4(3x + ?) = 12x + 16

\/

12x + ? = 12x + 16

What times 4 is 16?

4.

So our answer is A) 4

what is 20/25 as a percent

Answers

Answer:

80%

Step-by-step explanation:

36.05 rounded off to the nearest tens place

Answers

Answer:

36.1

Step-by-step explanation:

if the 100s place is 5 or above add 1 to the tens place. if it's 5 or below the tens will stay the same.

Evaluate 1/4x+ 1/20 when x =1/5

Answers

Answer:

1/10

0.1

Step-by-step explanation:

How many students spent less than 61 mins studying
6
11
12
17

Answers

Answer:    17

Step-by-step explanation:  

Find the measure of the angles (S)

Please help out:/

Answers

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180°

so 180 - (5x - 2) = the another one interior angle

180 - 5x + 2

182 - 5x

and then 2x + 76 + (182 - 5x) = 180

2x + 76 + 182 - 5x = 180

258 - 3x = 180

78 = 3x

x = 26

so 2x = (26)(2) = 52

5x - 2 = (5)(26) - 2 = 128

please give me a brainliest answer

Find the next three terms of the arithmetic sequence.

10, 13, 16, 19, . . .

Question 9 options:

a)

16, 13, 10


b)

17, 20, 23


c)

22, 25, 28


d)

23, 26, 29

Answers

Answer:

c

Step-by-step explanation:

There is a common difference d between consecutive terms of an arithmetic sequence, that is

d = 13 - 10 = 16 - 13 = 19 - 16 = 3

To obtain the next term add the common difference 3 to the previous term.

a₅ = a₄ + 3 = 19 + 3 = 22

a₆ = a₅ + 3 = 22 + 3 = 25

a₇ = a₆ + 3 = 25 + 3 = 28

The next 3 terms are 22, 25, 28 → c

HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE ​

Answers

Answer:

4

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]

Answers

Step-by-step explanation:

= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]

= [tex](a+1)(\sqrt{a} +2)[/tex]

please give me a brainliest answer

Can someone help me please ?

Answers

Answer:

-4[tex]y^{5}[/tex]

Step-by-step explanation:

-8[tex]y^{10}[/tex]/2[tex]y^{5}[/tex] = -8/2 * [tex]y^{10 - 5}[/tex]

               = -4[tex]y^{5}[/tex]

it won't let me answer all the word's all i can give is: 8/2 = -8/2 *

              = -4

Find x and y please!! I’m desperate!!!

Answers

Answer:

x = 4

y = 2

Step-by-step explanation:

the third angle of the triangle

180 - (148 + 18) = 14º

Therefor

3x + y = 14

5x - y = 18

Add the equations

8x = 32

Divide both sides by 8

x = 4

Plug in x = 4

3(4) + y = 14

12 + y = 14

y = 2

9514 1404 393

Answer:

  (x, y) = (4, 2)

Step-by-step explanation:

The triangles are similar by AA similarity, so the corresponding angles are congruent.

  5x -y = 18 . . . . . . unmarked angles are congruent

  18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°

__

After subtracting 166 from both sides, the second equation simplifies to ...

  3x +y = 14

Adding this to the first equation gives ...

  8x = 32

  x = 4 . . . . . . divide by 8

Then substituting for x in the first equation gives ...

  5(4) -y = 18

  20 -18 = y = 2

The values of the variables are x = 4, y = 2.

_____

The angle marked with a double mark is 14°, given by the simplified second equation.

please if you can i urgently need help thank you very much

Answers

Answer:

alright so basically solve and find each value out of exponent so it would be 16-8 over 32-16 which is 8/16 which simplifies to 1/2 which is ur answer

Answer:

4

you just add the powers when it's multiplication and same digit and minus them when they are divided but they have to be the same digit

2 power 4+3 =7 / 2 power 5+4=9

2 power 9-7=2

2 power 2 =4

In a class of 25 students; 15 students like Mathematics, 6 like English and 4

like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.

Help plz

Answers

1/2 because 25 out of 50 students like math
25/50 = 1/2

Answer:

3/5

Step-by-step explanation:

we got 15 students who like math in 25 student

the fraction is 15 over 25 , 15/25 , when you simplify by 5 the simplest form gonna be 3 over 5, 3/5

I need the answer to this picture below

Answers

Answer:

-4,1,7,15

Step-by-step explanation:

Can you help me solve this please

Answers

adhir man gati kam ke prachin kaun charitra hai iska uttar kya hoga

If covariance between two variables is near 0, it implies that:

Answers

Answer:

If the two random variables are independent, the covariance will be zero. It means they don't have any linear relationship.

Step-by-step explanation:

The measure of an angle is 15.8°. What is the measure of its complementary angle?

Answers

Answer:

x = 74.2°

Step-by-step explanation:

Complementary angles are two angles whose sum is 90°.

Let x = the second angle

15.8° + x  = 90°

      x = 90 - 15.8°

     x = 74.2°

15
2) The bakers at Healthy Bakery can make 220 bagels in 2 hours. How many
bagels can they bake in 19 hours? What was that rate per hour?
???

Answers

2090

Step-by-step explanation:

220 divided by 2 hours is 110 per hour

19 times 110 equals 2090

Determinen las medidas algebraicas necesarias para calcular el área del hexágono

Answers

Answer: i cant understand that laugaue so hopefully u do well sorry

Step-by-step explanation:

Are these functions or not functions?

Answers

Function my boy ya diididiidiidiiddiidididididiidididididiidididi

he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.

Answers

Answer:

Step-by-step explanation:

Ratio of angles = 2 : 3 :5

Angles are 2x , 3x , 5x

Sum of all angles of triangle = 180

2x +3x + 5x = 180

10x = 180

  x = 180/10

x = 18

2x = 2*18 = 36

3x = 3*18 = 54

5x = 5*18 = 90

Smallest to largest

36 , 54 , 90

Answer:

36°, 54°, and 90°

Step-by-step explanation:

The sum of interior angles of a triangle = 180

Remember: The sum of the interior angles = (number of sides - 2)(180)

2:3:5 means 2x:3x: 5x

2x + 3x + 5x = 180

10x = 180

x = 18

The angles are 2(18) = 36°

                          3(18) = 54°

                          518) = 90°

Which is the correct label of the parallel lines?

Answers

the answer is a || b, or the first option

Directions for (1-5): Plot the following on a number line
0.75
1.5
-2 ¾
-3 ⅕
6.8

Answers

Answer:

|---|--------|---------|------|---------|-|

-2 ¾   -3 ⅕    0.75  1.5       6.8

(This is a rough answer, it mainly just shows the order).

Step-by-step explanation:

1. -2 ¾

2. -3 ⅕

3. 0.75

4. 1.5

5. 6.8

P=[−3610−4] , Q=[−2571] , R=[4−20813]

Given the three matrices above, evaluate P+Q.

P+Q=[acbd]. Find the values of a, b, c, and d.

Answers

Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]

The values of a, b, c and d is determined by the addition of matrices P and Q, that is:

[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

We have that the matrices are:

[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]

[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]

Then:

[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]

Finally:

[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]

Thus, the values are:

[tex]a = -5, b = 8, c = 11, d = -3[/tex]

A similar problem is given at https://brainly.com/question/24810141

If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?

Answers

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

[tex]\sqrt{74}[/tex] = hypotenuse

8.6 = hypotenuse

If a cot α = 1 and b cos α = 1, find a2 – b 2​

Answers

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² =  (a + b) (a - b)

Substitute the given expressions into the formula as shown:

[tex]a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1[/tex]

This shows that the equivalent expression of the difference of two squares is -1

Learn more here: https://brainly.com/question/11084694

----
an
- 11 + 5(n-1)

Answers

Answer:

-3.2

Step-by-step explanation:

Suzy is 2997972000 seconds old. How many years old is she?

Answers

Answer:

95.06506849315

Step-by-step explanation:

Basically 95 years old which is very old Pls brainliest Thx! :D

Answer:

lets see according to my cackulations.... suzie would be, 6.....she would be six feet under the ground. dead. deceaced.gone.

Step-by-step explanation:

A car travels a distance of 130 miles in a time of 1.8 hours. What is its average speed rounded to 1dp?

Answers

Answer:

72.2

Step-by-step explanation:

130/1.8

If the room is a 14 by 12' rectangle then the strip of wallpaper needs to be at least how long?

Answers

Answer:

52 ft.

Step-by-step explanation:

In this case, we need to calculate a perimeter, which is the sum of all sides of the rectangle.

So, rectangles has opposite sides equal, therefore, the perimeter should be:

; having L as the larger side.

Hence, the strip of wallpaper needs to be as least 52 ft.

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