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Functions and Graphs

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Question 227

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

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.

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