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

The domain of the function f(x)=logx+12|x25x+6| is

A
[32,2)(2,3)(3,)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
[32,)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
[12,)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
None of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C [12,)
f(x)=logx+12|x25x+6|

=>(x+12)>1
Which gives =>x>12 (1)

For |x25x+6|:
By putting it to zero the roots will be:
x23x2x+6=0
Gives: (x2)(x3)=0
so the roots are x=2,3
The Domain for |x25x+6| is all real values (2)
From Equation (1) and (2):
x[12,)

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