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

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Answer 1 · 2018-04-05T02:10:43

See below.

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:

$(f ∘ g)(x)=5^2x^2$

$=> (f ∘ g)(x)=25x^2$