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1.3 Functions

1.3 Functions

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Question 105

The functions fff and ggg are defined by

f(x)=16−x2x∈R,x≥0 f(x) = 16 - x^2 \quad x \in \mathbb{R}, x \ge 0 f(x)=16−x2x∈R,x≥0 g(x)=43x+2x∈R,x≥0 g(x) = \frac{4}{3x + 2} \quad x \in \mathbb{R}, x \ge 0 g(x)=3x+24​x∈R,x≥0
a.

Write down the range of fff.

[1]
b.

Find the value of fg(2)fg(2)fg(2).

[2]
c.

Find g−1(x)g^{-1}(x)g−1(x) and state its domain.

[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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