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
Correct Answer: B. 2√3
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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