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1.3 Functions

1.3 Functions

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Question 67

The functions f f\,f and g g\,g are defined by

f:x↦3x+4f : x \mapsto 3x + 4f:x↦3x+4, x∈Rx \in \mathbb{R}x∈R

g:x↦2x+3\displaystyle g : x \mapsto \frac{2}{x + 3}g:x↦x+32​, x∈Rx \in \mathbb{R}x∈R, x≠−3x \neq -3x=−3

a.

Evaluate fg(1)fg(1)fg(1).

[2]
b.

Solve the equation gf(x)=6gf(x) = 6gf(x)=6.

[4]
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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