If `f` is the greatest integer function and `g` is the modulus function, then find the value of `(gof)(-5/3)-(fog)(-5/3)dot`

If f(x) is a greatest integer function, then f(-2. 5) is equal to

If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the greatest integer function, is continuous in [4,6], then find the values of adot

If the function f(x)=[((x-2)^3)/a]sin(x-2)+acos(x-2),[dot] denotes the greatest integer function, is continuous in [4,6], then find the values of adot

If f is the greatest integer function defined on R as f(x)=[x] and g is the modulus function defined on R as g(x)=|x| , then the value of (gof)(-(5)/(3)) is

If f be greatest integer function defined asf(x)=[x] and g be the mdoulus function defined as g(x)=|x|, then the value of g of (-(5)/(4)) is _____

If [dot] denotes the greatest integer function, then find the value of int_1^2[3x]dx

If the function of f(x) = [((x-5)^(2))/(A)]sin(x-5)+a cos(x - 2),"where"[*] denotes the greatest integer function, is continuous and differentiable in (7, 9), then find the value of A

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. If y=3[x]+1=4[x-1]-10 , then find the value of [x+2y]dot

f(x)=log_(5)(cos^(-1)sqrt(x^(2)+5x+6)+sec^(-1)[{x}+1]([.] denotes greatest integer function and {.} denotes fractional part function. Find the domain of f(x) :

If the function f(x)=[3.5+bsin x] (where [.] denotes the greatest integer function) is an even function, the complete set of values of b is