If f(x)=\\begin{array}{cc}x+a { &\end{array} , x \leq 0 ; {|x-4|} {,} , x > 0. and g(x)=\\begin{array}{cc}x+1 { &\end{array}, x < 0 ; (x-4)^2+b {,} , x \geq 0. are continuous on {\R}, then (g of)(2)+(f o g)(-2) is equal to : [26-Jul-2022-Shift-1]

Limits, Continuity and Differentiability Part 2

Section: Mathematics

Question : 25 of 100

Marks: +1, -0

If f(x)={

x+a,	‌‌x≤0
\|x−4\|,	‌‌x>0.

and g(x)={

x+1,	x<0
(x−4)2+b,	‌‌x≥0.

are continuous on R, then (gof)(2)+(fog)(−2) is equal to :

[26-Jul-2022-Shift-1]

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