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JEE Main Math Class 12 Continuity and Differentiability Part 2 Questions

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Question : 35

Total: 92

Let f,g:R→R be two real valued functions defined as f(x)={

−\|x+3\|	‌	x<0
ex	‌	‌‌x≥0

x2+k1x	‌	‌‌x<0
4x+k2	‌	‌‌x≥0

where k1 and k2 are real constants. If (gof) is differentiable at x=0, then (gof) (−4)+(gof)(4) is equal to :

[26-Jun-2022-Shift-1]

4(e4+1)
2(2e4+1)
4e4
2(2e4−1)

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