Quelpr
2 marksFunctions

CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 2(a)(ii)

Hence, or otherwise, write an expression for (f^{-1} \circ g)(x).

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 2(a)(i)Let f(x) = \frac{3x + 1}{x} and g(x) = e^{-2x} + 1. Show that f^{-1}(x) = \frac{1}{x - 3}.[3 marks]
  2. 2(b)Solve the equation 6 - \frac{7}{2^{2x}} - \frac{3}{4^{2x}} = 0.[8 marks]
  3. 2(c)The function f(x) = 2x^3 - px^2 + qx - 10 is divisible by x - 1 and has a remainder of -6 when divided by x + 1. Calculate the values of p and q.[6 marks]
  4. 2(d)The roots of the equation 2x^3 - x^2 + 3x - 1 = 0 are \alpha, \beta, and \gamma. Given that \alpha\beta + \alpha\gamma + \beta\gamma = \frac{3}{2}…[6 marks]

More practice: the rest of this paper · more Functions questions · all CAPE Pure Mathematics Unit 1 past papers