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9709/12

Mathematics 9709/12 — May/June 2016

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

11
questions
75
marks
105
minutes

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

Q13MFunctionsFree sample

Functions ff and gg are defined by

f:x↦10−3x,x∈R,g:x↦103−2x,x∈R, x≠32.\begin{aligned} f &: x \mapsto 10 - 3x, \quad x \in \mathbb{R}, \\ g &: x \mapsto \frac{10}{3 - 2x}, \quad x \in \mathbb{R}, \, x \neq \frac{3}{2}. \end{aligned}

Solve the equation ff(x)=gf(2)ff(x) = g f(2).

The rest of this paper

10 more questions
  • Q2Integration4M
  • Q3Coordinate Geometry4M
  • Q4Series6M
  • Q5Trigonometry5M
  • Q6Circular Measure · Trigonometry6M
  • Q7Trigonometry7M
  • Q8Coordinate Geometry8M
  • Q9Series · Quadratics9M
  • Q10Differentiation · Integration12M
  • Q11Quadratics · Differentiation · Functions11M
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