Question

find the domain of the function, f(x)=x/x²-5x+6

Answer 1

f(x ) = x/(x² -5x +6)

domain means value here value of x where function exist .
now,
function is not exist when ,
x² -5x + 6= 0
(x -2)(x -3) = 0
x = 2, 3

hence, domain € R-{2 , 3}

e.g domain belongs to all real numbers except 2 and 3