2025 IGCSE 0580 May/June P42 Q19

2025 IGCSE 0580 May/June P42 Q19

6 marks

\(\mathrm f(x)=x+1\qquad\mathrm g(x)=5-2x\qquad\mathrm h(x)=2^x\)

  1. Find \(\mathrm f(-3)\).[1]
  2. The domain of \(\mathrm g(x)\) is \(\{-3,0,2\}\).
    Find the range of \(\mathrm g(x)\).[2]
  3. Find \(x\) when \(\mathrm h(x)=\dfrac1{32}\).[1]
  4. Find \(x\) when \(\mathrm h^{-1}(x)=3\).[2]

Solution:

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Answer:(a) \(-2\). (b) \(\{11,5,1\}\). (c) \(x=-5\). (d) \(x=8\).

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