(i)[3]
Find an expression for $fg(x)$, simplify it, and state the range of $fg$.
(ii)[5]
Find a formula for $g^{-1}(x)$ and find the domain of $g^{-1}$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The functions $f$ and $g$ are specified by $f(x) = \frac{4}{x} - 2$ for $x > 0$, and $g(x) = \frac{4}{5x + 2}$ for $x \geq 0$.