Higher November 2022 Paper 2 Q22
22 \(\mathrm{f}(x) = \sqrt[3]{x}\)
\(\mathrm{g}(x) = 2x + 3\)
\(\mathrm{h}(x) = \mathrm{fg}(x)\)
Find \(\mathrm{h}^{-1}(x)\) (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{x^3 - 3}{2}\) | M1 | for \((\mathrm{h}(x)) = \sqrt[3]{2x + 3}\) |
| M1 | for a correct first step to find the inverse of \([\mathrm{h}(x)]\) | |
| A1 | oe |
Additional guidance
\([\mathrm{h}(x)]\) must be their composite function and cannot be either \(\sqrt[3]{x}\) or \(2x + 3\)