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f, g : R → R be two real valued functions defined as f(x) = ⎩ ⎨ ⎧ ≥ < + − 0 x , e 0 x |, 3 x | x and g(x) = ⎪ ⎩ ⎪ ⎨ ⎧ ≥ + < + 0 x , k x 4 0 x , x k x 2 1 2 where k 1 and k 2 are real constants. If (gof) is differentiable at x = 0, then (gof) (–4) + (gof)

1. is equal to :
2. 4(e 4 + 1)
3. 2(2e 4 + 1)
4. 4e 4 (4) 2(2e 4 – 1)

Correct answer: 4e 4 (4) 2(2e 4 – 1)

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