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

If f(x)=x3,x<03x2,0x2x2+1,x>2
Then find the value(s) of x for which f(x)=2.

A
213
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
43
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
all of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B 43
f(x)=2f(x)=x3,x<0x3=2x=213>0 not possible.
f(x)=3x2, 0x2f(x)=2x=43 0432 possible.
f(x)=x2+1,x>2x2+1=2x2=1x=±1.1<2 & 1<2 not possible.
Hence f(x) = 2 only when x=43

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