Question

How do you write `y = (x − 11)^5` as a composition of two simpler functions?

Answer 1

`(x-11)^5 = f(g(x))`, where `f(x)=x^5`, and `g(x)=x-11`

Explanation:

I think that writing in words what the function does is `90%` of the job done.

This function takes a number `x` and:

1. Subtract `11` from said number;
2. Computes the fifth power of the result.

As you can see, we have actually written the two simplier functions: `f(x)=x^5` ("computes the fifth power"), and `g(x)=x-11` ("subtract eleven from `x`").

In formulas, `(x-11)^5 = f(g(x))`