JEE Main 2019 Mathematics question
Let and , ∀ x ∈ R. Then the set of all x ∈ R, where the function h(x) = (f∘g)(x) is increasing, is:
Answer: (D)
Solution
⇒ x ∈ [0, 1/2] ∪ [1, ∞).
Let and , ∀ x ∈ R. Then the set of all x ∈ R, where the function h(x) = (f∘g)(x) is increasing, is:
⇒ x ∈ [0, 1/2] ∪ [1, ∞).