Higher January 2020 Paper 1R Q17
17 The function f is such that \(\;\mathrm{f}(x) = (x - 4)^2\;\) for all values of \(x\).
(a) Find \(\mathrm{f}(1)\) (1)
(b) State the range of the function f. (1)
The function g is such that \(\;\mathrm{g}(x) = \dfrac{4}{x + 3} \qquad x \neq -3\)
(c) Work out \(\mathrm{fg}(2)\) (2)
| Scheme | Marks |
|---|---|
| 9 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(\mathrm{f}(x) \geqslant 0\) | B1 |
| (1) |
Notes
B1: accept \(y \geqslant 0\) or \(\mathrm{f} \geqslant 0\)
| Scheme | Marks |
|---|---|
| (g(2) =) \(\dfrac{4}{2 + 3}\left(= \dfrac{4}{5}\right)\) oe | M1 |
| 10.24 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: or for sight of fg(\(x\)) e.g. \(\left(\dfrac{4}{x + 3} - 4\right)^2\)
A1: oe e.g. \(\dfrac{256}{25}\)