Modulus; signum; greatest integer and fractional part function

The range of function f(x)=log_(x)([x]), where [.] and {.} denotes greatest integer and fractional part function respectively

If f(x)=[x^(2)]+sqrt({x}^(2)), where [] and {.} denote the greatest integer and fractional part functions respectively,then

Which of the following is/are unity? (where [.] and {.} denote the greatest integer and fractional part functions, respectively)

Number of solutions of the equation 2x]-3{2x}=1 (where [.1] and {.} denotes greatest integer and fractional part function respectively

If[.] and {.} denote greatest integer and fractional part functions respectively, then the period of f(x) = e^(sin 3pi{x} + tan pi [x]) is

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

Period of f(x)=e^(cos x)+sin pi[x] is (l.] and {.} denotes the greatest integer function and fractional part function respectively)

The range of the function f defined by f(x)=[(1)/(sin{x})] (where [.] and {.}, respectively,denote the greatest integer and the fractional part functions) is

If [.] and {.} are greatest integer and fractional part functions, then the maximum value of f(x)=sqrt(x-[{x}]-2018)+sqrt(2020-x+{[x]}) is