JEE Main 202226 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If f(x)={x+a,x≤0∣x−4∣,x>0f(x) = \left\{ {\matrix{ {x + a} & , & {x \le 0} \cr {|x - 4|} & , & {x > 0} \cr } } \right.f(x)={x+a∣x−4∣,,x≤0x>0 and g(x)={x+1,x<0(x−4)2+b,x≥0g(x) = \left\{ {\matrix{ {x + 1} & , & {x < 0} \cr {{{(x - 4)}^2} + b} & , & {x \ge 0} \cr } } \right.g(x)={x+1(x−4)2+b,,x<0x≥0 are continuous on R, then (gof)(2)+(fog)(−2)(gof)(2) + (fog)( - 2)(gof)(2)+(fog)(−2) is equal to :AOption A. −-−10BOption B. 10COption C. 8DOption D. −-−8CheckSkip · show solution
