Question

watch the video and then solve the problem given below. click here to watch the video. express the given function h as a composition of two functions f and g so that h(x)=(f∘g)(x), where one of the functions is ( x^2 - 5 ). ( h(x)=sqrt{\frac{9}{x^2 - 5}} ) ( f(x)=square ) (simplify your answer.)

Explanation:

Step1: Identify inner function $g(x)$

Given one function is $g(x)=x^2 - 5$.

Step2: Define outer function $f(x)$

Since $h(x)=(f\circ g)(x)=\sqrt[9]{g(x)}$, substitute $g(x)$ with $x$ for $f(x)$.
<Expression> $f(x)=\sqrt[9]{x}$ </Expression>

Answer:

$\sqrt[9]{x}$