Question

Find f(x) and g(x) such that h(x) = (fog)(x).

h(x) = (6x + 8)6
Choose the correct pair of functions.
A. f(x)=x6, g(x) = 6x +8
X-8
B. f(x)=√x, g(x) = -
X-8
OC. f(x) = -
g(x)=√x
OD. f(x)=6x+8, g(x)=x6
6
6
"

Answer 1

To find f(x) and g(x) such that h(x) = (f o g)(x), we need to determine the composition of the functions f(x) and g(x). Given h(x) = (6x + 8)6, the correct pair of functions is f(x) = 6x and g(x) = 6x + 8.

Step-by-step explanation:

To find f(x) and g(x) such that h(x) = (f o g)(x), we need to determine the composition of the functions f(x) and g(x).

Given h(x) = (6x + 8)6, we can see that g(x) = 6x + 8 because it is inside the parentheses. To find f(x), we need to determine what function is being applied to the output of g(x). The function applied is multiplication by 6. Therefore, f(x) = 6x.

So, the correct pair of functions is f(x) = 6x and g(x) = 6x + 8.