Let \( f(x)=|x-2| \) and \( g(x)=f(f(x)), x \in[0,4] \). P Then \( ...

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Let \( f(x)=|x-2| \) and \( g(x)=f(f(x)), x \in[0,4] \).
P
Then \( \int_{0}^{3}(\mathrm{~g}(\mathrm{x})-\mathrm{f}(\mathrm{x})) \mathrm{dx} \) is equal to:
W
[JEE Main-2020 (September)]
(a) 0
(b) \( \frac{3}{2} \)
(c) \( \frac{1}{2} \)
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