Welcome to Bytelearn!

Let’s check out your problem:

For 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.$\newline$Simplify your answers as much as possible.$\newline$(Assume that your expressions are defined for all $x$ in the domain of the composition You do not have to indicate the domain.)$\newline$\begin{tabular}{|l|c|}$\newline$\hline (a) $f(x)=\frac{3}{x}, x \neq 0$ & (b) $f(x)=-x+4$ \\$\newline$$g(x)=\frac{3}{x}, x \neq 0$ & $g$$0$ \\$\newline$$g$$1$ & $g$$1$ \\$\newline$$g$$3$ & $g$$3$ \\$\newline$$g$$5$ and $g$ are inverses of each other & $g$$7$ and $g$ are inverses of each other \\$\newline$$f$ and $g$ are not inverses of each other & $g$$7$ and $g$ are not inverses of each other \\$\newline$\hline$\newline$\end{tabular}