Question

51 points composite functions need help soon

Answer 1

(f∘g)(12) = 24

Explanation:

Pre-Solving

We are given the functions f(x)=4x+8 and
`g(x)=√(x+4)`. We want to find (f∘g)(12).

(f∘g)(12) means that we first find the value of g(12), and then plug that value into f(x).

Solving

First, we find g(12). To do this, substitute x as 12.

`g(12) = √(12 + 4)`

Add 12 and 4 together under the radical.

`g(12) = √(16)`

Take the square root of 16.

g(12) = 4

Now, substitute 4 as x in f(x) = 4x + 8.

f(4) = 4(4) + 8

Multiply.

f(4) = 16 + 8

Add 16 and 8 together.

f(4) = 24

f(4) has the same value as (f∘g)(12), since 4 is the value of (g)(12), and then the value of g(12) was plugged in as x in f(x).

Therefore, (f∘g)(12) is 24.