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9709/12

Mathematics 9709/12 — October/November 2015

Cambridge AS Level · Pure Mathematics 1 (P1) · worked solutions for every part, with the mark scheme

10
questions
75
marks
105
minutes

Topics Trigonometry · Differentiation · Coordinate Geometry · Functions · Integration · Series · +2 more

Q14MFunctionsFree sample

Functions f\mathrm{f} and g\mathrm{g} are defined by

f:x↦3x+2,x∈R,g:x↦4x−12,x∈R.\begin{aligned} \mathrm{f} : x &\mapsto 3x + 2, \quad x \in \mathbb{R}, \\ \mathrm{g} : x &\mapsto 4x - 12, \quad x \in \mathbb{R}. \end{aligned}

Solve the equation f−1(x)=gf(x)\mathrm{f}^{-1}(x) = \mathrm{gf}(x).

The rest of this paper

9 more questions
  • Q2Series4M
  • Q3Trigonometry · Differentiation6M
  • Q4Trigonometry7M
  • Q5Trigonometry · Circular Measure7M
  • Q6Coordinate Geometry8M
  • Q7Coordinate Geometry9M
  • Q8Quadratics · Functions9M
  • Q9Integration · Differentiation10M
  • Q10Differentiation · Coordinate Geometry · Integration11M
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