Question

find the domain of the function f(x)=x/(x2-3x+2)​

Answer 1

Answer:

R - {1, 2}

Step-by-step explanation:

For the existence of this function,  denominator must not be 0.

      So we need to exclude this case from the all the cases(real no.)

Suppose if denominator = 0

        x² - 3x + 2 = 0

        x² - x - 2x + 2 = 0

        x(x - 1) - 2(x - 1) = 0

        (x - 1)(x - 2) = 0

        x = 1  &  x = 2

Since, we need to exclude these case from all the cases,  as for x = 1, 2,  denominator(that we don't want).

∴ Domain = R - {1, 2}

Now the function is defined for all real values of x,

Therefore, the domain of f(x) is R - {1,2}