(Solved): For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then, determine whether fand g ...

For each pair of functions $f$ and $g$ below, find $f(g(x))$ and $g(f(x))$. Then, determine whether fand $g$ are imverses of each other: Simplity 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) $f(x)=x+2$ $\text{ (b) }\begin{array}{l}f(x)=?\frac{6}{x},x+0\\ x(x)=\frac{6}{x},x+0\\ f(g(x))=?\\ g(f(x))=?\end{array}$ $g(x)=x?2$ $f(x))=\text{ II }$ $g(r))=?$