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

Apr 5, 2018

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:

$f \left(x\right) = \textcolor{b l u e}{{x}^{2}}$

$g \left(x\right) = \textcolor{red}{5 x}$

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 $5 x$, it will distribute to both, making it:

(f ∘ g)(x)=5^2x^2

=> (f ∘ g)(x)=25x^2