ECZ 2021 · GCE Paper 1 — Relations and Functions

The functions f and g are defined by f(x) = x − 34and g(x) = 2x + 1. Find f⁻¹(x).

  • A. 4x + 3
  • B. x + 34
  • C. 4x − 3
  • D. 4x − 3

Verified working — step 1

Let y = x − 34. Then 4y = x − 3 and x = 4y + 3. Swapping the letters gives f⁻¹(x) = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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