what is the domain and range of1) [x] [ ] represents greatest integer function2) {x} { } represents fractional part
The domain of both greatest integer function and fractional part is x because they can take all the values of x.
The [x], range is the entire set of integers (that is the definition of a greatest integer function)
Say for n≤x<n+1, then [x] = n
Once range of f(x) is found, then range of [f(x)], is obtained by splitting the range into intervals n≤f(x)<n+1.
For fractional part of x, the range is 0≤{x}<1.