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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 23

The function f f\,f is defined by

f(x)=ex2−ex\displaystyle f(x) = \frac{e^x}{2 - e^x}f(x)=2−exex​, x∈Rx \in \mathbb{R}x∈R, x≠ln⁡2x \neq \ln 2x=ln2

a.

Find an expression for f−1(x)f^{-1}(x)f−1(x).

[3]
b.

Using set notation, write down the range of f−1f^{-1}f−1.

[2]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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