Question

Given `y= (x-3)^5 +2`, how do you find f(x) and g(x) so that the function can be described as y=f(g(x))?

Answer 1

The answer is `f(x)=x^5+2` and `g(x)=x-3`

Explanation:

Let `f(x)=x^5+2`

And `g(x)=x-3`

Then `f(g(x))=f(x-3)=(x-3)^5+2`