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Mathematics · 2019

JEE Main · 10 April 2019, Shift 1 · Q73

Let f(x)= e^x-x and g(x)=x^2-x, ∀ x ∈ R. Then the set of all x ∈ R, where the function h (x)=(f ° g)(x) is increasing, is:

Let $\displaystyle f(x)=\mathrm{e}^x-x$ and $\displaystyle g(x)=x^2-x, \forall x \in \mathbf{R}$. Then the set of all $\displaystyle x \in \mathbf{R}$, where the function $\displaystyle \mathrm{h}(x)=(f \circ g)(x)$ is increasing, is :
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.