wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If f(x)=x2+1 and g(x)=2x, then find the domain of the function
h(x)=(f+g)x(fg)x

A
(,){1}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
(,){1}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(,1)(0,)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(,)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B (,){1}
(f+g)x(fg)x=(f(x)+g(x))(f(x)g(x))
=x2+1+2xx2+12x=(x+1)2(x1)2
x can take all values except 1 since the denominator cannot be equal to zero.
Therefore, the domain of the given function is (,){1}

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Adaptive Q9
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon