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JEE MATHEMATICS MCQ: FUNCTIONS

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If f:Rβ†’R&g:Rβ†’Rf: \mathbb{R} \rightarrow \mathbb{R} \& \quad g: \mathbb{R} \rightarrow \mathbb{R} be two given functions, then 2min⁑{f(x)βˆ’g(x),0}2 \min \{f(x)-g(x), 0\} equals
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Correct option: D
f(x)βˆ’g(x)βˆ’βˆ£g(x)βˆ’f(x)∣f(x)-g(x)-|g(x)-f(x)|
Option D is correct because it uses the identity min(a, b) = (a+b-|a-b|)/2 and simplifies the expression.

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