Find two nontrivial functions f ( x ) and g ( x ) so f ( g ( x ) ) = 1/ ( x + 7 ) ^5

Question

Solve for f(x) and g(x)

Answer 1

The question is asking you to create 2 functions, f and g, so that when you put g INTO f in place of the x, you get 1/(x+7)⁵

This is a possible solution: f (x) = 1/x⁵ and g(x) = (x + 7).

Another possible solution is: f (x) = 1/x and g(x) = (x + 7)⁵

In both cases, if you put the g function into the f function in place of the x, you will get the desired composite.

Answer 2