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Functions and Graphs

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Question 171

You are given that

gf(x)=2x2−8x−9for x>2andg(x)=2x+1 \begin{aligned} gf(x) &= 2x^2 - 8x - 9 & \text{for } x > 2 & \quad \text{and} \\ g(x) &= 2x + 1 \end{aligned} gf(x)g(x)​=2x2−8x−9=2x+1​for x>2and
a.

Find f(x)f(x)f(x) and state its domain

[3]
b.

State the range of f(x)f(x)f(x).

[1]
c.

Find f−1(x)f^{-1}(x)f−1(x).

[5]
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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