QuestionFind the domains of the functions: a. $\frac{q(x)}{h(x)}$, b. $q(h(x))$, c. $h(q(x))$ where $q(x)=\frac{1}{\sqrt{x}}$ and $h(x)=x^{2}-25$.

Studdy Solution
As we found earlier, $q(x)$ is undefined when $x \leq0$. So, the domain of $h(q(x))$ is $x >0$.
In conclusion, a. The domain of $\frac{q(x)}{h(x)}$ is $x >0$ and $x \neq, -$ b. The domain of $q(h(x))$ is $|x| >$ c. The domain of $h(q(x))$ is $x >0$