ECZ 2017 · GCE Paper 1 — Relations and Functions

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

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

Verified working — step 1

The inverse undoes g. The recipe: set y = g(x), make x the subject, then swap the letters back.

The full step-by-step working and final answer, plus the video lesson for this topic, are included with Premium — checked against ECZ marking standards.

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

Have a different question?

Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.

Search any past-paper question

More Relations and Functions questions from past papers