ECZ 2021 · O-Level Paper 1 — Relations and Functions

The functions f and g are defined by f(x) = x + 92and g(x) = x − 2. Find fg(−5).

  • A. 0
  • B. 2
  • C. −1
  • D. 1

Verified working — step 1

g(−5) = −5 − 2 = −7, then f(−7) = −7 + 92= 22= 1. Equivalently fg(x) = x + 72, so fg(−5) = 22= …

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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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