Statement 1: All points of intersection of and lie only on
MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions
Problem
Statement 1: All points of intersection of y=f(x) and y=f−1(x) lie only on y=x. Statement 2: If point P(α,β) lies on y=f(x), then Q(β,α) lies on y=f−1(x). Statement 3: The inverse of an invertible function is unique, and its range equals the domain of the function. Which option is correct for the statements in order?
(a) T, T, F
(b) F, T, T
(c) T, T, T
(d) T, F, T