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Functions and Graphs

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Question 21

You are given that

f(x)=x2−6x+5for x>3andg(x)=3x−2 \begin{aligned} f(x) &= x^2 - 6x + 5 & \text{for } x > 3 & \quad \text{and} \\ g(x) &= 3x - 2 \end{aligned} f(x)g(x)​=x2−6x+5=3x−2​for x>3and
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 gf−1(x)gf^{-1}(x)gf−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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