If the function `f(x) =sin(x-1)+[x/2]+x^3+4x`, and `g(x)=f^(-1)x`, then the value of `g'(5)` equals (where [.] represents the greatest integer function)

Let f(x)=(9x)/(25)+c, c gt 0 . If the curve y=f^(-1)(x) passes through ((1)/(4), -(5)/(4)) and g(x) is the antiderivative of f^(-1)(x) such that g(0)=(5)/(2) , then the value of [g(1)] is, (where [.] represents the greatest integer function)

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

If the functions f(x)=x^(5)+e^(x//3) " and " g(x)=f^(-1)(x) , the value of g'(1) is ………… .

f:(2,3)->(0,1) defined by f(x)=x-[x] ,where [dot] represents the greatest integer function.

f:(2,3)rarr(0,1) defined by f(x)=x-[x], where [.] represents the greatest integer function.

f(x)=[(x^(3)+4x)/(2)] is discontinuous at x equal to (where [.] denotes the greatest integer function)

Find the domain and range of f(x)="sin"^(-1)(x-[x]), where [.] represents the greatest integer function.

Find the domain and range of f(x)="sin"^(-1)(x-[x]), where [.] represents the greatest integer function.