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

If f(x)=2x-1x+5, x-5, then f-1(x)=


A

x+52x-1,x12

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

5x+12-x,x2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

x-52x-1,x12

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

5x-12-x,x2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

5x+12-x,x2


Explanation for the correct option:

Find the value of f-1(x):

Let, f(x)=y, so x=f-1y. Now,

y=2x-1x+5xy+5y=2x-12x-xy=5y+1x2-y=5y+1x=5y+12-yf-1(y)=5y+12-y

Therefore, f-1(x)=5x+12-x,x2

Hence, option B is correct.


flag
Suggest Corrections
thumbs-up
8
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Basic Theorems in Differentiation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon