Question

if (f(x)=x^{4}+5), (g(x)=x - 6) and (h(x)=sqrt{x}), then (f(g(h(x)))=)
question help: video

Explanation:

Step1: First find $g(h(x))$

Substitute $h(x)=\sqrt{x}$ into $g(x)$. So $g(h(x))=\sqrt{x}-6$.

Step2: Then find $f(g(h(x)))$

Substitute $g(h(x))=\sqrt{x}-6$ into $f(x)$. We have $f(g(h(x)))=(\sqrt{x} - 6)^{4}+5$.

Answer:

$(\sqrt{x}-6)^{4}+5$