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3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

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Question 204

The function f f\,f is defined by

f(x)=3x−5x−2\displaystyle f(x) = \frac{3x - 5}{x - 2}f(x)=x−23x−5​, x∈Rx \in \mathbb{R}x∈R, x≠2x \neq 2x=2

a.

Find f−1(4)f^{-1}(4)f−1(4).

[2]
b.

Show that ff(x)=ax+bx−1\displaystyle ff(x) = \frac{ax + b}{x - 1}ff(x)=x−1ax+b​, where a a\,a and b b\,b are integers to be found.

[3]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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