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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)lt0,AAx in R`

B

`(f(x)-x)f''(x)gt0,AAx in R`

C

If `f(x)-x)f''(x)gt0,thenf(x)=f^(-1)(x)` has no solution

D

If `f(x)-x)f''(x)gt0, then f(x)=f^(-1)(x)` has atleast a real solution

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The correct Answer is:
B, C
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