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$I f f (x) = x a n d g (x) = |x|, t h e n f (x) + g (x) i s e q u a l t o$

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$2 x i f x \geq 0, 0 i f x < 0$

$2 x i f x \geq 0, - 2 x i f x < 0$

answer is C.

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Detailed Solution

$\begin{array}{l} f (x) + g (x) = x + |x| \\ = \{\begin{cases} 2 x i f x \geq 0 \\ 0 i f x < 0 \end{cases} \end{array}$

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