QuestionFind the domain of the composite function $f(g(x))$ where $f(x)=\sqrt{42-x}$ and $g(x)=x^{2}-x$.

Studdy Solution
The inequality $(x-7)(x+6) \leq0$ is satisfied when $-6 \leq x \leq7$.
So, the domain of $f \circ g$ is all real numbers $x$ such that $-6 \leq x \leq7$.