Question

If f(g(x)) = 4(x^6 + 9)^2 and g(x)=x^6+9, find f(x). f(x) help (formulas)

Answer 1

Answer:

The function is $f(x)=4(x)^2$

Step-by-step explanation:

Given : If $f(g(x))= 4(x^6 + 9)^2$ and $g(x)=x^6+9$

To find : The function f(x) ?

Solution :

$f(g(x))=(fog)(x)$ where the function g is inside of the function f.

We have given,

$f(g(x))= 4(x^6 + 9)^2$

The function $g(x)=x^6+9$

Substitute in equation,

$f(g(x))= 4(g(x))^2$

We know that g(x) is placed over x in the function,

$f(x)= 4(x)^2$

Therefore, The function is $f(x)=4(x)^2$