QuestionFor each pair of functions $f$ and $g$ below, find $f(g(x))$ and $g(f(x))$. Then, determine whether $f$ and $g$ are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all $x$ in the domain of the composition. You do not have to indicate the domain.) (a) $f(x)=-\frac{2}{x}, x \neq 0$ (b) $f(x)=3 x+5$ $$\begin{array}{l} g(x)=-\frac{2}{x}, x \neq 0 \\ f(g(x))=\square \\ g(f(x))=\square \end{array}$$ $f$ and $g$ are inverses of each other $f$ and $g$ are inverses of each other $f$ and $g$ are not inverses of each other $f$ and $g$ are not inverses of each other