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Let f (x) be invertible function and let...

Let `f (x)` be invertible function and let `f ^(-1) (x)` be is inverse. Let equation `f (f ^(-1) (x)) =f ^(-1)(x)` has two real roots `alpha and beta` (with in domain of `f(x)),` then :

A

`f (x) =x ` also have same two rreal roots

B

`f ^(-1) (x)=x` also have same two real roots

C

`f (x)=f^(-1)(x)` also have same two real roots

D

Area of triangle formed by `(0,0), (alpha, f (alpha)), and (beta, f (beta))` is 1 unit

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A, B, C
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