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

Let f:[0,3][0,π3+loge2] defined by f(x)=logex2+1+tan1x then f(x)is

A
One – one and onto
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
One – one but not onto
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Onto but not one – one
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Neither one – one nor onto
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A One – one and onto
f(x)=x+1x2+1>0f(x) is strictly increasing in [0,3]
Also the range of the f(x) = codomain
f is bijective

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