CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If f(x)=sgn(x) and g(x)=x(x25x+6), then f(g(x)) will be discontinuous at

A
infinitely many points
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
exactly one point
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
exactly three points
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
no point
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C exactly three points
Given : g(x)=x(x25x+6)
The roots of g(x) are 0,2,3
Hence f(g(x)) would change sign at these three points. Hence it is discontinuous at these 3 points
Note: sgn(g(x)) is discontinuous when g(x)=0

flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Implicit Differentiation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon