1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
f(x)=sin2x,g(x)=x
b
f(x)=sinx,g(x)=|x|
c
f(x)=x2,g(x)=sinx
d
f and g cannot be determined.
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
When f(x)=sin2x and g(x)=x, (fog)(x)=f[g(x)]=f(x)=(sinx)2 and (gof)(x)=g[f(x)]=gsin2x=|sinx| When f(x)=sinx and g(x)=|x| (fog)(x)=f(g(x))=f(|x|)=sin|x|≠(sinx)2 When f(x)=x2 and g(x)=sinx (fog)(x)=f[g(x)]=f(sinx)=(sinx)2 and (gof)(x)=g[f(x)]=gx2=sinx2 =sin|x|≠|sinx|