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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

Let and be functions from the interval to the interval , being an increasing function and being a decreasing function. If then

Answer: (A),(B),(C)

Solution

Take (the domain).

- **Key step.** is decreasing, so . is increasing, so . But takes values in , so . Hence

f\{g(x)\}=0=f\{g(0)\} for every x0.

- (a) Since , the inequality

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Question ID VK-109202