ECZ 2017 · GCE Paper 1 — Relations and Functions

The functions g and f are defined as g : x → x − 12and f : x → 3x − 5. Find g⁻¹(x).

  • A. x + 12
  • B. 2x − 1
  • C. 2x + 1
  • D. 12x+ 1

Verified working — step 1

Let y = x − 12. Then 2y = x − 1 and x = 2y + 1. Swapping letters: g⁻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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