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1.3 Functions

1.3 Functions

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Question 103

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

1.3 Functions Questions

  1. A Level
  2. /Maths
  3. /1.3 Functions

181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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