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Functions and Graphs

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Question 125

The function f f\,f is defined by f(x)=(x−3)2−16f(x) = (x - 3)^2 - 16f(x)=(x−3)2−16 for x≥kx \geq kx≥k, where k k\,k is a constant.

Given that f−1(x)f^{-1}(x)f−1(x) exists, state the least possible value of kkk.

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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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