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)=(fog)(x) is increasing, is: [10 Apr 2019 Shift 1]

Correct Answer is : [0,12]∪[1,∞)

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

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

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

Functions Part 1

Section: Mathematics

Question : 62 of 100

Marks: +1, -0

Let f(x)=ex−x and g(x)=x2−x,∀x∈R. Then the set of all x∈R, where the function h(x)=(fog)(x) is increasing, is:

[10 Apr 2019 Shift 1]

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