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If \(f : x → 2 tan x\) and \(g : x → √(x^2 +...

Further Mathematics
WAEC 2023

If \(f : x → 2 tan x\) and \(g : x → √(x^2 + 8), find ( g o f )(45^o)\)

  • A. 4
  • B. 2√3
  • C. 6
  • D. 3√2
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Correct Answer: Option B
Explanation

\(f : x → 2 tan x\)

\(g : x → √(x^2 + 8)\)

\(( g o f ) = √((2 tan x)^2 + 8)\)

\(( g o f )(45º) = √((2 tan 45º)^2 + 8)\)

= √(4 + 8) = √12

= √(4 x 3)

∴ 2√3


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