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If f:x2tanx and \(g : x → √(x^2 +...

If f:x2tanx and g:x(x2+8),find(gof)(45o)

A.

4

B.

2√3

C.

6

D.

3√2

Correct answer is B

f:x2tanx

g:x(x2+8)

(gof)=((2tanx)2+8)

( g o f )(45º) = √((2 tan 45º)^2 + 8)

= √(4 + 8) = √12

= √(4 x 3)

∴ 2√3