(a)[4]
Solve $fg(x) = 3$.
(b)[3]
Determine an expression for $(fg)^{-1}(x)$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The functions $f$ and $g$ are given by $f : x \mapsto x^2 - 1$ when $x < 0$, and $g : x \mapsto \frac{1}{2x + 1}$ when $x < -\frac{1}{2}$.