Let 'f' be the greatest integer function and 'g' be the modulus function, then find the value of `(gof) (frac{5}{2}) - (fog)(frac{-5}{2})`

Let 'f' be the greatest integer Junction and 'g' be the modulus function, then find the value of (gof) (frac{1}{2}) - (fog)(frac{1}{2})

If 'f' be the greatest integer function and ' g' be the modulus function, find the values of gof(5/3) - fog(5/3)

Let f be the greatest integer function and g be the modulus function, then evaluate : gof(-7/3) - fog(-7/3) .

Find the value of tan(sin^-1 frac{3}{5} + cot^-1 frac{3}{2}) .

Let [] donots the greatest integer function and f (x)= [tan ^(2) x], then

Let f(x) = x [x], where [*] denotes the greatest integer function, when x is not an integer then find the value of f prime (x)

Let f(x) = [x] and g(x) = |x| then find the value of (gof) (5/3) - (fog) (5/3)

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 (x) = [x] and g (x) = I x I , then evaluate : (fog) (frac{1}{2})- (gof)(frac{-1}{2})