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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 87

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

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 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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