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Functions and Graphs

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Question 120

You are given that

f(x)=x2−4x−3for x>2andg(x)=x+1 \begin{aligned} f(x) &= x^2 - 4x - 3 & \text{for } x > 2 & \quad \text{and} \\ g(x) &= x + 1 \end{aligned} f(x)g(x)​=x2−4x−3=x+1​for x>2and
a.

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

[3]
b.

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

[1]
c.

Find f−1(x)f^{-1}(x)f−1(x).

[2]
d.

Hence find gf−1(x)gf^{-1}(x)gf−1(x).

[3]
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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