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Functions and Graphs

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Question 110

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

f:x→5x−7,x∈R f : x \rightarrow 5x - 7, \quad x \in \mathbb{R} f:x→5x−7,x∈R g:x→12x+4,x∈R,x≠−4 g : x \rightarrow \frac{12}{x+4}, \quad x \in \mathbb{R}, x \neq -4 g:x→x+412​,x∈R,x=−4
a.

Evaluate fg(2)fg(2)fg(2)

[2]
b.

Solve the equation gf(x)=8gf(x) = 8gf(x)=8

[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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