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1.5.8 Composite and inverse functions (A-level only)

1.5.8 Composite and inverse functions (A-level only)

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Question 1

A climatologist is testing four different mathematical models for the atmospheric temperature TTT (in ∘C^\circ\text{C}∘C) as a function of time ttt (in years), where the domain for each function is t∈Rt \in \mathbb{R}t∈R.

Which of the following models does not have an inverse function?

T(t)=0.5t+14.2T(t) = 0.5t + 14.2T(t)=0.5t+14.2

T(t)=(t−2)3+8T(t) = (t - 2)^3 + 8T(t)=(t−2)3+8

T(t)=15−3cos⁡(πt12)T(t) = 15 - 3\cos\left(\dfrac{\pi t}{12}\right)T(t)=15−3cos(12πt​)

T(t)=10+e0.2tT(t) = 10 + e^{0.2t}T(t)=10+e0.2t

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Markscheme

1.5.8 Composite and inverse functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.5.8 Composite and inverse functions (A-level only)

52 exam-style questions on AQA A Level Maths 1.5.8 Composite and inverse functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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