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Let f and g be two diffrentiable functio...

Let f and g be two diffrentiable functions on R such that `f'(x) gt 0 and g'(x) lt 0` for all `x in R`. Then for all x

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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