Let f and g be two differentiable functions on R such that f'(x) > 0 and g'(x) < 0 for all x R. Then for all x :

JEE Main 2014 Mathematics question

Let f and g be two differentiable functions on R such that and for all . Then for all x :

Answer: (2)

Since g is strictly decreasing and , we have . Applying the strictly increasing f preserves the inequality: $f(g(x)) >

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Question ID VK-104606