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Functions and Graphs

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Question 34

The function f(x)=ex4−ex\displaystyle f(x) = \frac{e^x}{4 - e^x}f(x)=4−exex​ is defined on the domain x∈R,x≠ln⁡4x \in \mathbb{R}, x \neq \ln 4x∈R,x=ln4

a.

Find f−1(x)f^{-1}(x)f−1(x)

[3]
b.

Write down the range of f−1(x)f^{-1}(x)f−1(x)

[1]
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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