The domain of the function f(x) given by f(x)=1√x+|x| is
A
R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
R+
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
R−
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
R−{−1}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is BR+ Given f(x)=1√x+|x|Ifx>0,(x|=x⇒x+(x|=2xwhichisgreaterthan0.Ifx≤0,(x|=−x⇒x+(x|=0f(x)willnotbedefinedifx+(x|=0Therefore,thedomainoff(x)=R+