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Let f be a function defined by f(x)=(x-1...

Let `f` be a function defined by `f(x)=(x-1)^(2)+1,(xge1)`.
Statement 1: The set `(x:f(x)=f^(-1)(x)}={1,2}`
Statement 2: `f` is a bijection and `f^(-1)(x)=1+sqrt(x-1),xge1`.

A

Statement -1 is true, Statement -2 is true and Statement -2 is correct explanation for Statement -1

B

Statement -1 is true, Statement -2 is true and Statement -2 is not correct explanation for Statement -1

C

Statement -1 is true, Statement -2 is false

D

Statement -1 is false Statement -2 is true

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The correct Answer is:
A
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