`f(x)=ln ((x^2-5x+6)/(x^2+4x+6))`

If f(x)=log((x^(2)-5x+6)/(x^(2)+x+1))+sqrt((1)/([x^(2)-1]))) (Where [.1 is greatest integer),Then domain of function f(x) is

The range of the function f(x)=log_(3)((x^(2)-5x+6)/(x^(2)-5x+4)) is

Find the values of x for which f(x) is positive if f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) .

Find the values of x for which f(x) is positive if f(x)=(x^(2)-6x+5)/(x^(2)-5x+6) .

Find the domain of the function f(x)=(x^2-6x+5)/(x^2-5x+6) .

Find f'(x) given f(x)=(x^2+5x+6)/(x^2+3x+2)

Find f'(x) , given f(x)=(x^(2)+5x+6)/(x^(2)+3x+2) .

Compute the value of 'c' satisfied by the Rolle's theorem for the function . f(x) = log ((x^(2) + 6)/(5x)) in the interval [2,3].