(i)[2]
Find a simplified expression for $gg(x)$.
(ii)[4]
Find an expression for $f^{-1}(x)$, and state the domain of $f^{-1}$.
(iii)[4]
Solve the equation $f(g(x)) = \frac{1}{7}$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
For $x > 3$, the functions $f$ and $g$ are given by $f:x \mapsto \frac{1}{x^2 - 9}$ and $g:x \mapsto 2x - 3$.