Let g(x)=3 f (\frac{x}{3}) +f(3-x) and f^{' '}(x)>0 for all x \in(0,3). If g is decreasing in (0, \alpha) and increasing in (\alpha, 3), then 8 \alpha is [27-Jan-2024 Shift 2]

JEE Main 27-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 8 of 90

Marks: +1, -0

Let g(x)=3f(‌

)+f(3−x) and f′′(x)>0 for all x∈(0,3). If g is decreasing in (0,α) and increasing in (α,3), then 8α is

[27-Jan-2024 Shift 2]

Go to Question:

Prev Question

Next Question