If $$ f(x)=x^{4}+9, g(x)=x-9 $$ and $$ h(x)=\sqrt{x} $$, then $$ f(g(h(x)))= $$ Question Help: Subideo Message instructor Question

Question

UpStudy AI · Accepted Answer

1. We are given the functions:
   - $$ f(x) = x^4 + 9 $$
   - $$ g(x) = x - 9 $$
   - $$ h(x) = \sqrt{x} $$

2. First, find $$ h(x) $$:
   $$
   h(x) = \sqrt{x}
   $$

3. Next, find $$ g(h(x)) $$ by substituting $$ h(x) $$ into $$ g(x) $$:
   $$
   g(h(x)) = \sqrt{x} - 9
   $$

4. Finally, find $$ f(g(h(x))) $$ by substituting $$ g(h(x)) $$ into $$ f(x) $$:
   $$
   f(g(h(x))) = \left(\sqrt{x} - 9\right)^4 + 9
   $$

Thus, the answer is:
$$
\boxed{\left(\sqrt{x}-9\right)^4 + 9}
$$
$$ f(g(h(x))) = (\sqrt{x} - 9)^4 + 9 $$

If and , then

Question Help:
Subideo Message instructor Question