Question

Find two nontrivial functions f(x) and g(x) so f(g(x))=6/(x+8)^5

Answer 1

Let f(x) = 6/x^5

Let g(x) = x+8

Explanation:

When we work on these composite functions, this "nesting" of functions, instead of putting a number in place of x, we put a whole entire other function in place of x.

So if g(x) = x + 8

and f(x) = 6/x^5

in f(g(x)) we put the whole entire x+8 into f(x) to get

6/(x+8)^5