f (x) = |x – 1|, f : R + → R and g (x) = e x , g : [–1, ∞) → R If the function fog (x) is…

Mathematics · JEE Advanced · NTA Exams — Sets, Relations and Functions

1. (0, ∞) & [0, ∞)
2. [–1, ∞) & [0, ∞)
3. \([-1, \infty) \&\left[1-\frac{1}{\mathrm{e}}, \infty\right)\)
4. \([-1, \infty) \&\left[\frac{1}{\mathrm{e}}-1, \infty\right)\)

Answer

(B) [–1, ∞ ) & [0, ∞ )

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