For all values of x,
f(x) = x^2 + 3x and g(x) = x - 4
Show that fg(x) = x^2 - 5x + 4​

Answers

Answer 1

Answer:

f(g(x)) =  x² - 5x +4

Step-by-step explanation:

Explanation

Given that the functions

         f(x) = x² + 3 x   and g(x) = x-4

     f(g(x)) = f(x -4)   (∵ g(x) = x-4)

              = (x-4)² + 3(x-4)

              = x² - 2(4)x + 4² + 3x -12

             = x² - 8 x + 16 + 3x -12

             = x² - 5x +4

∴ f(g(x)) =  x² - 5x +4


Related Questions

Atomic number = 76, mass number = 192

Answers

Answer:

Step-by-step explanation:

number of neutrons is 192-76 = 116

number of electrons is 76

WILL GIVE BRAINLIEST Latoya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginners fee of $100 and a monthly fee of $38. If X represents the number of months that Latoya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time. laToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that Latoya can be a member of the gym?

Answers

Answer:

Is number 4

Step-by-step explanation:

What percent of 80 is eight

Answers

Answer:

10 percent is the answer

Step-by-step explanation:

just helping people get points !!!!!

Answers

Step-by-step explanation:

Thanks dude

Have a nice day and great day please

Help ASAP The ratio of two side lengths for the triangle given.Solve the variable.

Answers

Answer:

a = 3

Step-by-step explanation:

AB/AC = 7/8 = 14a/48

7/8 = 14a/48

Multiply both sides by 8.

7 = 14a/6

Multiply both sides by 6 and switch sides.

14a = 42

a = 3

What is 3/6 plus 1/3

Answers

Answer:

5/6

Step-by-step explanation:

3/6 + 1/3 = 3/6 + 2/6 = 5/6

Answer:

5/6

Step-by-step explanation:

3/6 + 1/3 = 3/6 + 2/6 = 5/6

The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?

The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?

a.

$7.78

b.

$25.20

c.

$18.72

d.

$12.86

Answers

Answer:

b.$25.20

Step-by-step explanation:

Calculation for how much is the warranty

Using this formula

Warranty cost=Extended warranty purchase d price percentage*Purchased Price

Let plug in the formula

Warranty cost =18%*$140

Warranty cost =$25.20

Therefore the warranty cost will be $25.20

Answer:

B

Step-by-step explanation:

The diagonal length of a rectangle is 21 inches, and the length of the rectangle is 8 inches.

Which measurement is closest to the width of this rectangle in inches?

13 in.
19.4 in.
22.5 in
29 in.
Plz help

Answers

29 inches.

_________________

29 inches should be the answer

Pleaseeeee I’m so close to passing math

Answers

Answer:

5 cents each

Step-by-step explanation:

1.00 $ is equal to 100 pennies, so 100 ÷ 20 is 5, to check 5 cents times 20 is 100 cents or 1.00 $

PLZ HELP FAST!! BUT GIVE THE RIGHT ANSWER PLZ

Answers

Answer:

B

Step-by-step explanation:

BBBB

Plz solve and check thanks

Answers

Solve all of them right?

Luis drives 135 miles on Monday and 135 km on Tuesday. How many km did he drive in total?
Use 5 miles = 8 km.
km​

Answers

51 miles is the answer

Hiked 3 5/6 miles and 2 1/2 miles on Saturday. Hiked 1 1/3 miles on Sunday. How many more miles to hike for a 10 mile hike

Answers

Answer:

I dont really know

Step-by-step explanation:

Pls can someone send the answer for this

Answers

Answer:

a.10

b.10

c.-105

d.92

Water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. Which would not be a proportion you could use to solve for the gallons of water going over the waterfall in 2 2/3 hours? There are multiple answers.

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

First, we need to convert 2 2/3 hours to minutes. This would be:

= 2 2/3 × 60 minutes

= 8/3 × 60 minutes

= 160 minutes

Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:

= (162 1/2 × 2 2/3hours) / 15 minutes

= (162 1/2 × 160) / 15

= 1733 1/3 gallon

Answer:

You didn't give the options but let me help out.

First, we need to convert 2 2/3 hours to minutes. This would be:

= 2 2/3 × 60 minutes

= 8/3 × 60 minutes

= 160 minutes

Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:

= (162 1/2 × 2 2/3hours) / 15 minutes

= (162 1/2 × 160) / 15

= 1733 1/3 gallon

Step-by-step explanation:

Choose the best selection for the following figure:
A. Rectangle
B. Rhombus
C. Parallelogram
D. Square

Answers

Answer: Rhombus

Step-by-step explanation:

The answer is Rhombos

Use the diagram above to answer questions 1-6

Answers

Answer:

What is the diagram?

Step-by-step explanation:

Where is the diagram

A circle has a diameter of 12 cm. Which of these is closest to its circumference?*
A.75 cm
B.452 cm
C.38 cm
D.19 cm

Answers

Answer:D 19 cm

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the exact answer would be 37.7, so it's rounded to 38.

Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.Which of the following best describes an anecdote?

Answers

Answer:

25 feet by 4 feet

Step-by-step explanation:

Answer:

This shape is an irregular polygon. This means we have to find the area of the whole shape and then subtract the missing parts to get the correct answer.

First, we have to find the area of the whole shape (a rectangle). The formula for a rectangle's area is:

The length of the shape is 19 ft, and the width is 29 ft. Now, we apply the formula to those numbers:

Now that we know that the area of the whole polygon is 551 square feet, we have to find the area of:

1. The first missing triangle

2. The second missing triangle

3. The missing rectangle

Add all of those areas together, and then subtract them from 551 and we have the answer.

First, we find the area of the missing triangle in the top left hand corner. The area formula for a triangle is

So, we have to find the base and the height. We see that part of the whole polygon's width is 4 ft, which is not missing, so we subtract that from the total width, 19 ft.

This means that the triangle's base is 15 ft. Now, we have to find the height. We can easily see that the height is 15 ft, as it says so in the picture.

Now, we just have to apply the formula:

So, we have our first area, 112 square feet.

Now we have to find the area of the second missing triangle in the bottom right corner.

We know that the base is 4 ft, as it says so in the picture. The height is 24 ft. We know that the total height of the polygon is 29 ft, and we see a shaded part of 25 ft in height. So:

According to this equation, we have 4 ft in height. Using the area formula for triangles, here is our equation:

This equation states that our second area is 8 square feet.

Now, we just have our last area to find, the missing rectangle. According to all of the previous information, and the picture, we see that the width is 15 ft and the height is 14 ft. Now we apply the area formula for rectangles:

Lastly we add up all of our areas: 112.5 square feet, 8 square feet, and 210 square feet.

Then, we subtract 330.5 from 551:

​​The answer is 220.5

Tips:

1. Refer to the picture

2. the formulas are missing

3. I submitted this on my test and got it right so ya


If xº is the exterior angle and 70° and 50° are its opposite interior angle of a triangle find X​

Answers

Answer:

70+50=120

Step-by-step explanation

therefore x=120

Solve what is the answer

4- 2 3/7

Answers

Answer:

1.57142857

Step-by-step explanation:

Find the domain of the function f(x)=[tex]\sqrt{x^3-16x}[/tex] . What is the least value of x in the domain?

Least Value=

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\sqrt{x^3-16x}[/tex]

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

Domain refers to all the possible sets of input values on the x-axis.

Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.

[tex]x^3-16x\ge 0[/tex]

as x³ - 16x ≥ 0

[tex]\left(x+4\right)\left(x-4\right)\ge \:0[/tex]

Thus, identifying the intervals:

[tex]-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4[/tex]

Thus,

The domain of the function f(x) is:

[tex]x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}[/tex]

And the Least Value of the domain is -4.

10 times as much as 3 ten thousands is ________.

Answers

Answer:

300,000

Step-by-step explanation:

3 ten thousands = 30,000

30,000 * 10 = 300,000

Hope this helps :)

10 times as much as 3 ten thousand is equal to 300,000.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the number is 10 times as much as 3 ten thousand. The number will be calculated as below:-

3 ten thousands = 30,000

30,000 x  10 = 300,000

Therefore, 10 times as much as 3 ten thousand is equal to 300,000.

To know more about an expression follow

https://brainly.com/question/25301924

#SPJ2

Which of these pairs of functions are inverse functions? A) f(x) = 2 ^ (x - 1) + 1 and g(x) = log2 (x - 1) - 1 b) f(x) = 1/2 * (ln(pi/2) - 1) and g(x) = 2e ^ (2x + 1) 1 c) f(x) = (4ln(x ^ 2))/(e ^ 2) g(x) = e ^ ((e ^ 2 * x)/8) d) f(x) = 10 ^ (x - 10) - 10 and g(x) = log10 (x + 10) - 10

Answers

Answer:

c) f(x) = (4ln(x²))/(e ²)

   g(x) = e ^ ((e ² * x)/8)

Step-by-step explanation:

13 out of 10 of a number is what percentage of that number

Answers

130% let me know if I’m right!
130%

Explanation : 13/10 = 1.3
1.3 * 100 = 130 which is 130%

Given that z is a standard normal random variable, find the value of z for each situation. a. The area to the right of z is 0.01.

Answers

Answer: =1.34

Step-by-step explanation:

In standard density curve

P(Z<z) = Area left of z, P(Z>z) = area right of z.

P(Z<z) +P(Z>z) =1

Given:  z is a standard normal random variable.

To find : value of z if rea to the right of z is 0.01.

i.e. P(Z>z) =0.01

P(Z<z) =1-0.01 = 0.09

from z-score table, z value for this is 1.34.

Hence, z= 1.34

please help me i really need help please

Answers

Answer: it’s option 3

Step-by-step explanation:

y = -1/2x + 2 is the correct answer

A random sample of 20 UF students is taken to test UFs claim that 54% of the student population are female.

Which assumptions/conditions that are necessary for the model to be valid are violated, if any?

Answers

You didn't give the multiple choice so no one can help you do make sure to include that next time

In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices

Answers

Answer:

isn't it 2x?

Step-by-step explanation:

In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?​

Answers

Answer:

30 hens, 20 cows.

Step-by-step explanation:

Step one:

let the number of cows be x

and the number of hens be y

Each cow has 2 eyes, each hen has 2 eyes also.

the total number of eyes is

2x+2y

Each cow has 4 legs, each hen has 2 legs.

the total number of legs is

4x + 2y

Step two:

the number of legs exceeds the number of eyes by 40:  

4x+2y - (2x+2y) = 40

open bracket

4x+2y-2x-2y=40

4x-2x=40

2x=40

Divide both sides by 2

x=40/2

x=20

Step three:

we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30

30 hens, 20 cows.

Check:

60 + 40 eyes = 100, 60 + 80 legs = 140legs.

Other Questions
1. Which of the following is NOT an element of fiction?a. Characterb. Plotc. Point of viewd. Citations send help asap i hate school smh please i will give brainlist What is the purpose of the website directory provided by the website host?to look up user account informationto provide help and training for new customersto store all of a websites content filesto archive website usage logs What is a chord made up of the three notes root, third, and fifth (do, mi, sol) called? I WILL MARK BRAINLIEST IF YOU HELP ME Can we cultivate our own happiness part b which detail from the text best supports the answer to part A Please match the following 3 terms to their definitions. Convert the following repeating decimal to a fraction.01 Finding SolutionsThe solution is k =Use the work shown below to solve.1. Identify the operation in the equation2. Use inverse operations to solve,Subtraction property of equality=k+111322152Addition property of equality+(-)=k+1+(-) which of the following from jordan's passage conflicts most with this? What number is 76% of 97 Pls answer this look in pic Expand 4(n + 4).Uhhh help me. Solve the equation. Check your solution.1 2/3 x j = 15 Elle wanted to order candy online.Company A is offering 212 pounds of chocolate for $32.50 at a unit rate $ per ,while Company B is offering 245 pounds of the same chocolate for $35.00 at a unit rate $ per .Which company is offering the lowest price per pound?Company has the lowest price per pound. Find the product.x3(x2 + 5x + 1) True or False: Metals usually have stronger electron affinity than non-metals. True or False: Noble gas elements have a very large value for electron affinity. True or False: Negative anions have a larger ionic radius than the atomic radius of their neutral atom. a Cuntos centmetros cuadrados equivale 12 metros cuadrados In an element's square on the periodic table, the number with the greatest numerical value represents thenumber of neutrons.O number of electrons.88atomic nunner.O atomic mass. A building with a height of 40 meters casts a shadow that is 35 meters long. A statue next to the building casts a shadow that is 7 meters long. How tall ls the statue ?