Q. 324.7( 3 Votes )

Mark the correct alternative in each of the following:

If g(f(x)) = |sin x| and f (g(x)) = , then

A. f(x) = sin2x, g(x) = √x

B. f(x) = sin x, g(x) = |x|

C. f(x) = x2, g(x) = sin √x

D. f and g cannot be determined

Answer :

Given that g(f(x)) = |sin x| and


a. For f(x) = sin2x, g(x) = √x


f(g(x))=f(√x)= (sin√x)2


g(f(x))=g(sin2x)= √ sin2x= |sinx|


Correct


b. For f(x) = sin x, g(x) = |x|


f(g(x)) = f(|x|) = sin |x|


g(f(x) = g(sin x) = |sin x|


Incorrect


c. f(x) = x2, g(x) = sin √x


f(g(x)) = f(sin √x) = (sin √x)2


g(f(x)) = g(x2) = sin |x|


Incorrect

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Functions - 01Functions - 01Functions - 0152 mins
Functions - 10Functions - 10Functions - 1047 mins
Functions - 05Functions - 05Functions - 0558 mins
Functions - 07Functions - 07Functions - 0748 mins
Functions - 02Functions - 02Functions - 0253 mins
Functions - 03Functions - 03Functions - 0361 mins
Functions - 08Functions - 08Functions - 0840 mins
Functions - 12Functions - 12Functions - 1252 mins
Functions - 04Functions - 04Functions - 0460 mins
Functions - 09Functions - 09Functions - 0947 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses