ECZ 2023 · O-Level Paper 1 — Relations and Functions

The functions g and h are defined by g(x) = 3x + 1 and h(x) = x - 12. Find g-1(x).

  • A. x + 13
  • B. 3x - 1
  • C. x - 13
  • D. x - 31

Verified working — step 1

The inverse undoes g. The recipe: swap x and y, then make y the subject.

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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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