What is the domain of y=(x^2-x+6)/(x-2) ?

The domain of y=(x^2-x+6)/(x-2) is x 2

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domain of y=(x^2-x+6)/(x-2)

domain

y = \frac{x ^{2} - x + 6}{x - 2}

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

f (x) = \frac{x ^{2} + x - 2}{( x + 3 ) ^{2}}

f (x) = x + \frac{7}{x}

f (x) = \frac{x ^{2} - 8 x + 16}{x - 4}

y = \frac{x + 1}{x ^{2}}

f (x) = \frac{3 x + 2}{2 x - 3}

What is the domain of y=(x^2-x+6)/(x-2) ?
The domain of y=(x^2-x+6)/(x-2) is x<2\lor x>2