wiz-icon
MyQuestionIcon
MyQuestionIcon
2
You visited us 2 times! Enjoying our articles? Unlock Full Access!
Question

f:R[1,) and f(x)=ln ( [ |sin2x|+|cos2x| ] ) (where [.] denotes greatest integer function) then which of the following is NOT correct?

A
(RRange of f(x)) is a null set
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
f(x) is periodic but fundamental period is not defined.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
f(x) is invertible in [0,π4]
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
f(x) is into function.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C f(x) is invertible in [0,π4]
1|sin2x|+|cos2x|2So, [ |sin2x|+|cos2x| ]=1f(x)=ln (1)=0
it is periodic but fundamental period is not defined.
Also, (RRange of f(x)) is a null set
f(x) is many one and into fucntion.
Hence, f(x) is not invertible.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Some Functions and Their Graphs
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon