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

The values of the parameter α, for which the function f(x)=1+αx,α0 is the inverse of itself, is

A
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 1
Let f(x)=y, then 1+αx=y

x=y1α

f1(y)=y1α

f1(x)=x1α
Now f(x)=f1(x)1+αx=x1α1+αx=1αx1α ........ As f(x) is invertible function itself
α=1α and 1=1α
α=1

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