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

A function f is defined by f(x)=x+1x.

Consider the following.

1(fx)2=f(x2)+2 and

2fx3=fx3+3fx.

Which one is correct?


A

1only

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

2 only

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

Both 1and 2

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

Neither 1nor 2

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

The correct option is C

Both 1and 2


The explanation for the correct answer:

Step 1: Finding the expansion for fx2:

Given, the function f(x)=x+1x

fx2=x+1x2[a+b2=a2+2ab+b2]=x2+2x1x+1x2=x2+1x2+2=fx2+2...................1

Step 2: Finding fx3:

fx3=x+1x3[a+b3=a3+3a2b+3ab2+b3]=x3+3x21x+3x1x2+1x3=x3+1x3+3x+3x=fx3+3fx.................2

Thus from the equation 1and 2 both the statements are true.

Hence, option (C) is the correct answer.


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