Question

Let f(x) = x^2and g(x) = 5x. Find the composite. what is (f ∘ g)(x)?

Answer 1

See below.

Explanation:

To find the composite function, all we need to do is to replace the `x` in the initial expression, with that of the second.

To further explain, we are given these two functions:

`f(x)=color(blue)(x^2)`

`g(x)=color(red)(5x)`

We are asked to find the composite function of `(f ∘ g)(x)`.

So, with the above explanation, we should have this:

`(f ∘ g)(x)=(color(red)(5x))color(blue)(^2)`

Since the `^2` is affecting the entirety of `5x`, it will distribute to both, making it:

`(f ∘ g)(x)=5^2x^2`

`=> (f ∘ g)(x)=25x^2`