Question

Let f(x) = x^2and g(x) = 3x. Find the composite. what is (f ∘ f)(x)?

Answer 1

`(f circ f)(x)=x^4`

Explanation:

In this situation, `g(x)` is totally irrelevant to the problem at hand, it's more of a distraction, so we'll ignore it.

`(f circ f)(x)` is `f(x)` composed with `f(x),` or `f(f(x)).` This entails replacing all `x` in `f(x)=x^2` with `x^2.`

So,

`(f circ f)(x)=(x^2)^2`

`(f circ f)(x)=x^4`