Answer
$(f\circ g\circ h) (x)=|2^{\sqrt{x}}-4|$
Work Step by Step
$(f\circ g\circ h) (x)=f[g(h(x))]$
$g(h(x))=2^{h(x)}=2^{\sqrt{x}}$
$f[g(h(x))]=f(2^{\sqrt{x}})=|2^{\sqrt{x}}-4|$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.