Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If fog = |sin x| and gof = sin 2 
then f(x) and g(x) are:
A
f(x) = 
, g(x) = x 2
, g(x) = x 2
B
f(x) = |x|, g(x) = sin x
C
f(x) = 
, g(x) = sin 2 x
, g(x) = sin 2 x
D
f(x) = sin 
, g(x) = x 2
, g(x) = x 2
Text Solution
Verified by ExpertsThe correct answer is:
C
fog = f(g(x)) = |sin x| = 
.
Also gof = g(f(x)) = sin 2 
.
Obviously, 
= 
and sin 2 
= sin 2 (f(x))
i.e. g(x) = sin 2 x and f(x) = 
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