Let {\f}, {\g}: {\R} \to {\R} be two real valued functions defined as f(x)=\{\table -\text{|}x+3\text{|}, , x< 0 ; e^x , , x \geq 0 and g(x)=\{\table x^2+k_1 x , , x < 0 ; 4 x+k_2 , , x \geq 0 where k_1 and k_2 are real constants. If (gof) is differentiable at x=0, then (gof) (-4)+(g o f)(4) is equal to : [26-Jun-2022-Shift-1]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 44 of 100

Marks: +1, -0

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

−\|x+3\|	‌	x<0
ex	‌	‌‌x≥0

and g(x)={

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]

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