Let................... | Monotonicity

JEE MAIN_2019

_10-04-2019-S-1

Question

Let $f(x)=e^x-x$ and $g(x)=x^2-x, \forall x \in R$. Then the set of all $x \in R$, where the function $h(x)=(\mathrm{fog}) (x)$ is increasing, is i

Select the correct option:

$\left[-1, \frac{-1}{2}\right] \cup\left[\frac{1}{2}, \infty\right)$

$[0, \infty)$

$\left[0, \frac{1}{2}\right] \cup[1, \infty)$

$\left[\frac{-1}{2}, 0\right] \cup[1, \infty)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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