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Functions and Graphs

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Question 168

The function f−1f^{-1}f−1 is defined for all real values of x x\,x by

f−1(x)=x+83 f^{-1}(x) = \frac{x+8}{3} f−1(x)=3x+8​
a.

Find an expression for f(x)f(x)f(x)

[2]
b.

Sketch the graphs of y=f(x)y = f(x)y=f(x) and y=f−1(x)y = f^{-1}(x)y=f−1(x) on the same diagram.

[2]
c.

Find the set of values for which f(x)>f−1(x)f(x) > f^{-1}(x)f(x)>f−1(x).

[2]
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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