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Let f'(x) gt0 and g'(x) lt 0 " for all "...

Let `f'(x) gt0 and g'(x) lt 0 " for all " x in R ` Then

A

`g(f(x)) gt g(f(x -1))`

B

`f(g(x)) gt f(g(x + 1))`

C

`f(g(x)) gt f(g (x -1))`

D

`g(f (x)) lt g(f(x + 1))`

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The correct Answer is:
B
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