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3 years ago

For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x).

Mathematics

1 answer:

barxatty [35]3 years ago

7 0

Answer:

(16x + 21) and (16x - 6)

Step-by-step explanation:

f(g(x)) = f(6 + 4x)

Applying the f(x) function on (6 + 4x) gives

4(6 + 4x) - 3

Which equals 16x + 24 - 3

= 16x + 21

g(f(x)) = g(4x - 3)

Applying the g(x) function on (4x - 3) gives

6 + 4(4x - 3)

Which equals 6 + 16x - 12

= 16x - 6

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What value of x makes the equation -4x – (-3 − 5x) = -3(2x − 8) true?

mezya [45]

Answer:hrhdhf end b

Step-by-step explanation:

Rndjdbajrcb

5 0

2 years ago

There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selectin

AysviL [449]

You can choose from 20 students for the first student, 19 for the second, 18 for the third, ..., 14 for the seventh student.

That gives you 20 * 19 * 18 * 17 * 16 * 15 * 14.

That number would allow you to write the students in different order. Since order here does not matter, any group with the same students in any order is the same group, you need to divide by the number of way you can order 7 items. Divide by 7 * 6 * 5 * 4 * 3 * 2 * 1

(20 * 19 * 18 * 17 * 16 * 15 * 14)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 77,520

Answer: 77,520

8 0

3 years ago

Read 2 more answers

Alice solved the following equation:

son4ous [18]

Answer:

Alice is correct

Step-by-step explanation:

8 0

3 years ago

Please answer the problem and show your work.Thank you.

Vinvika [58]

Answer:

8. m=6

9. x=2; Alyssa is incorrect because she subtracted 8 from 16 when in reality she should have divided 16 by 8 to get 2. The real solution is 2 because 8 times 2 is equal to 16.

Step-by-step explanation:

Question 8:

2m-6=m

-2m -2m (subtract 2m from both sides)

-6=-m

- - (divide both sides by the negative)

m=6

Question 9:

8x=16 (divide both sides of the equation by 8)

8 8

x=2

8 0

1 year ago

Read 2 more answers

Question 1-3

Vikki [24]

The production graph of the company is a quadratic graph

The true statements about the production graph are:

When producing 5,000 sets of headphones per week, the weekly earnings is $0.
Producing 2,500 sets of headphones per week will give the maximum amount of weekly earnings.
The maximum possible earnings is about $6,250 per week.
If production is increased from 1,500 to 2,000 sets of headphones per week, then the weekly earnings will also increase

<h3>How to interpret the model?</h3>

To interpret the model, we simply evaluate the options one after the other

Producing 5000 sets weekly

From the graph, we have:

(x,y) = (5000,0)

This means that a weekly production of 5,000 sets of headphones give an earning of $0.

Hence, this option is true

Increased production from 3000 to 4000

From the graph, the function value decreases when x increases from 3000 to 4000.

This means that this option is false

Producing 2500 sets

The production of 2500 sets give a maximum earning of $6250

This means that options (c) and (d) are true

Increased production from 1500 to 2000

From the graph, the function value increases when x increases from 1500 to 2000.

This means that this option is true

Hence, the true statements are: (a), (c), (d) and (e)

Read more about quadratic graphs at:

brainly.com/question/7988424

3 0

2 years ago