Published by:
CGP EDU Academic Team
Published on: August 14, 2026
f (x) = ⏐ x − 1 ⏐ , f: R + → R, g(x) = e x , g: [ − 1, ∞ ) → R. If the function fog (x) is defined, then its domain and range respectively are:
A
(0, ∞ ) and [0, ∞ )
B
[ − 1, ∞ ) and [0, ∞ )
C
[ − 1, ∞ ) and 
D
[ − 1, ∞ ) and 
Text Solution
Verified by ExpertsThe correct answer is:
B
f(x) = |x – 1| f : R + → R ;g(x) = e x , g : [–1, ∞ ) → R
fog(x) = f[g(x)] = |e x – 1|
D : [–1, ∞ ) ; R : [0, ∞ )
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The function , where assumes its minimum value only at one point, if . Find .
2. If be two fixed positive integers such that for all real , then is a periodic function with …
3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…
If , then . Find .
, then is equal to . Find .
Let and be the roots of , then is equal to Find .