(a)[2]
On this diagram, sketch $y=f^{-1}(x)$, and include any mirror line that is needed.
(b)[3]
Find an expression for $f^{-1}(x)$.
(c)[1]
Solve for $x$ in $f(x)=4.5$.
(d)[1]
Explain why there is no solution to $f^{-1}(x)=f(x)$.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The function $f$ is given by $f(x)=\dfrac{2}{x^2}+4$ for $x<0$, and the diagram displays the graph of $y=f(x)$.