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Limits Continuity and Differentiability question

2022 · 26 Jul · Shift 1 · Q31

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JEE Main
Mathematics
Limits Continuity and Differentiability
2022 · 26 Jul · Shift 1 · Q31

Limits Continuity and Differentiability question

2022 · 26 Jul · Shift 1 · Q31

JEE MainMathematicsLimits Continuity and DifferentiabilityMCQ+4 / −1

If

f(x) = \left\{ {\begin{matrix} {x + a} & , & {x \le 0} \\ {|x - 4|} & , & {x \gt 0} \\ \end{matrix} } \right.

and

g(x) = \left\{ {\begin{matrix} {x + 1} & , & {x \lt 0} \\ {{{(x - 4)}^2} + b} & , & {x \ge 0} \\ \end{matrix} } \right.

are continuous on R, then

(gof)(2) + (fog)( - 2)

is equal to :

A
$-$ 10
B
10
C
8
D
$-$ 8

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