Question
Question: Period of f(x) = x − [x + a] − b, where a, b ∈ \(\stackrel { + } { R }\) and [.] denotes the greate...
Period of f(x) = x − [x + a] − b, where a, b ∈ R+ and [.] denotes the greatest integer function, is
A
a
B
b
C
|a - b|
D
1
Answer
1
Explanation
Solution
f(x) = x − [x + a] − b = x + a − [x + a] − (a + b)
= {x + a} − (a + b).
Thus period of f(x) is 1.