Answer
$f(x)=|x|$ and $g(x)=2x^2+3$
Work Step by Step
We wish to find two functions $f$ and $g$ such that:
$H(x)=(f \circ g)(x) = |2x^2+3|$
Let us consider:
$f(x)=|x|$ and $g(x)=2x^2+3$
Then we have the composite function:
$H(x)=(f \circ g)(x) =f[g(x)]=f(2x^2+3)=|2x^2+3|$