FunctionHard
Question
The fundamental period of function f(x) = [x] + 
- 3x + 15, where [ . ] denotes greatest integer function, is :
- 3x + 15, where [ . ] denotes greatest integer function, is :Options
A.1/3
B.2/3
C.1
D.non-periodic
Solution
f
+ [x + 1] - 3 
+ 15
=
+ [x] - 3x + 15 = f(x)
∴ fundamental period is 1/3
+ [x + 1] - 3 + 15 =
+ [x] - 3x + 15 = f(x)∴ fundamental period is 1/3
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