Question

If h(x) =(fog)(x) and h(x) = 3(x+2)^2, find one possibility for f(x) and g(x)​

Answer 1

$f(x)=3x^2 \\ \\ g(x)=x+2$

Explanation:

In this case we have the composition of two function called $f(x)$ and $g(x)$ that results in another function $h(x)$. So:

$h(x) =(f\circ g)(x)$

Another way to write this function is:

$h(x)=f(g(x)) \\ \\ So \ g(x) \ becomes \ the \ domain \ of \ f$

One possibility for $f(x)$ and $g(x)$ is:

$f(x)=3x^2 \\ \\ g(x)=x+2$

Because $h(x)=f(g(x))$ is:

$h(x)=3(x+2)^2$

Learn more:

Function transformations: brainly.com/question/12469649

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