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If f: R rarr R , f ( x) is differentiabl...

If `f: R rarr R ,` f ( x) is differentiable bijective function then which of the following is ture ?

A

`(f(x) - x) f''(x) lt 0 forall x in R`

B

`(f(x) - x) f''(x) gt 0 forall x in R`

C

`(f(x) - x) f''(x) gt 0 , then f(x) = f^(-1) (x) `has no solution

D

`(f(x) - x) f''(x) gt 0 , then f(x) = f^(-1) (x)` has at least a real solution

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The correct Answer is:
B, C
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