2025 IGCSE 0580 May/June P23 Q22

2025 IGCSE 0580 May/June P23 Q22

8 marks

\(\mathrm{f}(x)=2x+5\qquad\mathrm{g}(x)=x-4\qquad\mathrm{h}(x)=5^x\)

  1. Find \(\mathrm{f}(3)\).[1]
  2. Find \(\mathrm{f}^{-1}(x)\).[2]
  3. Solve \(\mathrm{fg}(x)=25\).[3]
  4. Find \(x\) when \(\mathrm{h}^{-1}(x)=2\).[2]

Solution:

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Answer:(a) \(11\). (b) \(\dfrac{x-5}{2}\). (c) \(x=14\). (d) \(x=25\).

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