(i)[1]
State the set of values taken by $f$.
(ii)[2]
Reproduce the diagram, then on your copy draw the graph of $y = f^{-1}(x)$.
(iii)[6]
Find expressions that define $f^{-1}$, together with the set of values for which each one is valid.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The diagram represents the function $f$ on $-1 \leq x \leq 4$, where $$f(x) = \begin{cases}3x - 2 & \text{for } -1 \leq x \leq 1, \\ \frac{4}{5 - x} & \text{for } 1 < x \leq 4.\end{cases}$$