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If f: R rightarrow R, f(x) is a differen...

If f: R rightarrow R, f(x) is a differentiable bijective function , then which of the following may be true?

A

`(f(x) -x)f'' ( x)lt 0, AA x in R `

B

`(f(x) -x)f''( x) gt 0, AA xx in R `

C

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

D

If `(f (x) -x)f'' (x) gt 0," then " f(x) = f^(-1)(x) `

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