Problem

Problem

Statement-1 All points of intersection of y=f(x)y = f(x) and y=f−1(x)y = f^{-1}(x) lies on y=xy = x only. Statement-2 If point P(α,β)P(\alpha, \beta) lies on y=f(x)y = f(x) , then Q(β,α)Q(\beta, \alpha) lies on y=f−1(x)y = f^{-1}(x) . Statement-3 Inverse of invertible function is unique and its range is equal to the function domain. Which of the following option is correct for above statements in order (a) T T F (b) F T T (c) T T T (d) T F T

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