(i)[3]
Find the values for $p$ and $q$.
(ii)[5]
The function $f$ is defined on the domain $x \geq 0$ by $$f(x) = \begin{cases} 11 - x^2 & \text{for } 0 \leq x \leq p, \\ 5 - x & \text{for } x > p. \end{cases}$$ Write $f^{-1}(x)$ in a matching form.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The diagram displays a section of the curve $y = 11 - x^2$ together with a segment of the straight line $y = 5 - x$, and they intersect at the point $A(p, q)$, where $p$ and $q$ are positive constants.