Question

 need help quickly please !

Find f(g(5)) if f(x) = 2x + 5 and g(x) = 3x ^ 2


Find f(g(2)) if f(x) = 4x ^ 2 - 1 and g(x) = 3x + 2

Evaluate the following given f(x) = 4x + 3 and g (x) = 2x - 1

Given f(x) = 2x and g(x) = x + 7 Find f(g(x))

Answer 1

1st answer: f(g(5)) =155

2nd answer: f(g(2)) = 255

4th answer: f(g(x)) = 2x + 14.

Explanation:

For 1st one:

Given:

f(x) = 2x + 5

g(x) = 3x²

To find:

f(g(h))=?

Solution:

First, let's solve for the value of the inner function, g(5).

We have g(x) = 3x².

So, g(5) = 3(5)²= 75.

Now we know that g(5) = 75, so we can solve for f(g(5)).

We have f(x) = 2x + 5.

So, f(g(5)) = 2(g(5)) + 5 = 2(75) + 5 = 155.

Therefore, the value of f(g(5)) is 155.

`\hrulefill`

2nd Question:

Given:

f(x) = 4x² - 1 and g(x) = 3x + 2

First, let's solve the value of the inner function, g(2).

We have g(x) = 3x + 2.

So, g(2) = 3(2) + 2 = 8.

Now we know that g(2) = 8, so we can solve for f(g(2)).

We have f(x) = 4x² - 1.

So, f(g(2)) = 4(g(2))² 1 = 4(8)² - 1 = 255.

Therefore, the value of f(g(2)) is 255.

`\hrulefill`

3rd Question:

Let's evaluate the following given f(x) = 4x + 3 and g (x) = 2x - 1.

f(1) = 4(1) + 3 = 7

f(2)= 4(2)+3=11

g(1)=2(1)-1=2-1=1

g(2) = 2(2) - 1 = 3

f(g(1))=f(1) =7

g(f(2)) = g(11) = 2(11) - 1 = 20

`\hrulefill`

4th Question:

Given f(x) = 2x and g(x) = x + 7

To find f(g(x))

Solution:

Substitute the value of g(x) in place of x of f(x)

f(g(x)) = 2(g(x)) = 2(x + 7) = 2x + 14

Therefore, the value of f(g(x)) is 2x + 14.