(i)[4]
Find $a$ and $b$.
(ii)[2]
Find a formula for $fg(x)$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The functions $f$ and $g$ are defined for $x \in \mathbb{R}$ by $f: x \mapsto 3x + a$ and $g: x \mapsto b - 2x$, where $a$ and $b$ are constants. It is given that $f(2) = 10$ and $g^{-1}(2) = 3$.