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Let f(x)=x^(2)-2x and g(x)=f(f(x)-1)+f(5...

Let `f(x)=x^(2)-2x` and g(x)=f(f(x)-1)+f(5-f(x)), then

A

`g(x) lt 0, forall x in R`

B

`g(x) lt 0 " for some " x in R`

C

`g(x) ge 0 " for some " x in R`

D

`g(x) ge 0, forall x in R`

Text Solution

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The correct Answer is:
D
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