Question

f(x)=3x^3 and g(x)=3/x Evaluate F(g(x)) and g(f(x))

Answer 1

\(\bf {\color{olive}{ f(x)}}=3x^3 \qquad {\color{brown}{ g(x)}}=\cfrac{3}{x}
\\ \quad \\
f(\quad {\color{brown}{ g(x)}}\quad )=3\left({\color{brown}{ \cfrac{3}{x}}}\right)^3\qquad \qquad g(\quad {\color{olive}{ f(x)}}\quad )=\cfrac{3}{({\color{olive}{ 3x^3}})}\)

simplify, see what you get for each