JEE Main 2019 — Math solution | Fundamenthol

JEE Main2019Math

Q.

Let f(x) = e^x – x and g(x) = x² – x, $\forall$ x $\in$ R. Then the set of all x $\in$ R, where the function h(x) =(fog) (x) is increasing, is :

A
$[- 1, \frac{- 1}{2}] \cup [\frac{1}{2}, \infty)$
B
$[0, \infty)$
C
$[0, \frac{1}{2}] \cup [1, \infty)$
D
$[\frac{- 1}{2}, 0] \cup [1, \infty)$

Solution

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