ECZ 2017 · GCE Paper 1 — Relations and Functions

With g : x → x − 12and f : x → 3x − 5, find g⁻¹f(x).

  • A. 2x + 63
  • B. 3x − 62
  • C. 6x − 9
  • D. 6x − 11

Verified working — step 1

g⁻¹(x) = 2x + 1, and g⁻¹f means apply f first, then g⁻¹: g⁻¹f(x) = 2(3x − 5) + 1 = 6x − 10 + 1 = …

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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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