If `f: RvecRvecR`are two given functions, then prove that`2m indot{if( – InterviewSolution

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1.	If `f: RvecRvecR`are two given functions, then prove that`2m indot{if(x)-g(x),0}=f(x)-\|g(x)-f(x)\|`A. f(x) + g(x) - \|g(x) - f(x)\|B. f(x) + g(x) + \|g(x) - f(x)\|C. f(x) - g(x) + \|g(x) - f(x)\|D. f(x) - g(x) - \|g(x) - f(x)\|
Answer» Correct Answer - D `f : R rarr R, g : R rarr R` f(x) = 2 min f(x) - g(x), 0 Let f(x) - g(x) `gt` 0, then F(x) = f(x) - g(x) - \|f(x) - g(x)\| and f(x) - g(x) `lt` 0, then F(x) = 2[F(x) - g(x)] = [f(x) - g(x)] - \|f(x) - g(x)\|

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