(i)[4]
Find expressions for $f^{-1}(x)$ and $g^{-1}(x)$, and state the value of $x$ at which $g^{-1}(x)$ is undefined.
(ii)[3]
Solve for $x$ the equation $f g(x) = \frac{7}{3}$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The functions $f$ and $g$ are given by $f: x \mapsto 3x - 2, \; x \in \mathbb{R}$ and $g: x \mapsto \frac{2x + 3}{x - 1}, \; x \in \mathbb{R}, \; x \ne 1$.