wiz-icon
MyQuestionIcon
MyQuestionIcon
8
You visited us 8 times! Enjoying our articles? Unlock Full Access!
Question

The number of integers belonging to the interval [3,30] but not belonging to the range of the function
f(x)=x{x}x[x],xR, is
(where [.] and {.} denote the greatest integer function and fractional part respectively.

Open in App
Solution

Consider only integers in this case
f(x)=x{x}x[x]=x(x[x])x[x]=x2x([x]+[x])=x2
x[3,30]f(x)[0,900]
The integers belonging to the range are 0,1,4,9,16,25
Number of integers does not belonging to range are 346=28


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