ECZ 2010 · O-Level Paper 1 — Relations and Functions

For the function g(x) = 4x - 32x - 5, find g-1(x).

  • A. 2x - 54x - 3
  • B. 5x + 32x + 4
  • C. 5x - 32x - 4
  • D. 4x - 32x - 5

Verified working — step 1

Let y = 4x - 32x - 5. Then y(2x - 5) = 4x - 3, so 2xy - 4x = 5y - 3 and x(2y - 4) = 5y - 3. Hence 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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