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3.1 Algebra and functions (A-level only)

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Question 67

The function f f\,f is defined by

f(x)=3+ln⁡(5x−4)f(x) = 3 + \ln(5x - 4)f(x)=3+ln(5x−4), x∈Rx \in \mathbb{R}x∈R, x>0.8x > 0.8x>0.8

a.

Find the exact value of ff(1)ff(1)ff(1).

[2]
b.

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

[3]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 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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