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Given that f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\), find the value...

Further Mathematics
WAEC 2024

Given that f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\), find the value of f o g(3)

  • A. 4
  • B. 3
  • C. 2
  • D. 1
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Correct Answer: Option A
Explanation

Given: f: x → \(\sqrt{x}\) and g : x → 25 - x\(^2\),

f o g(3) means replace x with g(3) in f: x → \(\sqrt{x}\)

f: x → \(\sqrt{x}\) = f : g(3) → \(\sqrt{x}\)

but, g(3) → 25 - 3\(^2\), = 25 - 9 = 16

f o g(3)  → \(\sqrt{g(3)}\) = \(\sqrt{16}\) = 4.


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WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now