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

If fx=2x+2-x2, then fx+y·fx-y is equal to


A

12fx+y+fx-y

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

12f2x+f2y

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

12fx+y·fx-y

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

None of these

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

The correct option is B

12f2x+f2y


Explanation for the correct option.

Find the value of the given expression.

For the function fx=2x+2-x2, the expression fx+y·fx-y can be written as:

fx+y·fx-y=2x+y+2-x+y2×2x-y+2-x-y2=142x2y+2-x2-y2x2-y+2-x2y[am+n=aman]=142x2+2y2+2-y2+2-x2[ama-m=1]=1422x+22y+2-2y+2-2x=121222x+2-2x+1222y+2-2y=12f2x+f2y[f(x)=12(2x+2-x)]

Hence, the correct option is B.


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Extrema
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon