Let f(x) = min(x^3, x^2) and g(x) = [x]...

Let `f(x) = min(x^3, x^2) and g(x) = [x]^2+ sqrt({x}^2)`, where `[x]` denotes the greatest integer and `{x}` denotesthe fractional part function. Then which of the following holds?

Similar Questions

Explore conceptually related problems

Solve : 4{x}= x+ [x] (where [*] denotes the greatest integer function and {*} denotes the fractional part function.

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

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

Solve 1/([x])+1/([2x])= {x}+1/3 where [.] denotes the greatest integers function and{.} denotes fractional part function.

Solve 1/[x]+1/([2x])= {x}+1/3where [.] denotes the greatest integers function and{.} denotes fractional part function.

Solve 1/[x]+1/([2x])= {x}+1/3 where [.] denotes the greatest integers function and{.} denotes fractional part function.

Let f(x)=[x] +sqrt({x}) , where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f^(-1)(x) is