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CGP EDU Academic Team
Published on: August 13, 2026
Let f "(x) > 0 ∀ ∀ x ∈ ∈ R and g(x) = f(2 – x) + f(4 + x). Then g(x) is increasing in
Text Solution
Verified by ExpertsThe correct answer is:
C
f "(x) > 0 ∀ ∀ x ∈ ∈ R ⇒ ⇒ f '(x) is increasing ∀ ∀ x ∈ ∈ R.
g'(x) = − − f '(2 − − x) + f '(4 + x). If g'(x) > 0
⇒ ⇒ f '(4 + x) > f'(2 - x)
⇒ ⇒ 4 + x > 2 – x
⇒ ⇒ x > − − 1
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