Question
Question: If f(x) = \(f^{- 1}(x)\) is continuous ∀ x ∈ R then (A, B) is-...
If f(x) = f−1(x) is continuous ∀ x ∈ R then (A, B) is-
A
(–1, 0)
B
(0, 1)
C
(–1, 1)
D
(0, 0)
Answer
(–1, 1)
Explanation
Solution
f(1+) = B + 1, f(1) = 2, f(1–) = 3 + A
Q f(x) is continuous at x = 1
B + 1 = 2 ⇒ B = 1
A + 3 = 2 ⇒ A = –1