What is the domain of y=(x+2)/(x-3) ?

The domain of y=(x+2)/(x-3) is x 3

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domain of y=(x+2)/(x-3)

domain

y = \frac{x + 2}{x - 3}

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

f (x) = 3 x (x - 2)^{3}

f (x) = 7 x + 2

\frac{3 x}{2 x + 1}

f (x) = x^{3} - 2 x^{2} + 5 x + 7

f (x) = - 3 x - 17

What is the domain of y=(x+2)/(x-3) ?
The domain of y=(x+2)/(x-3) is x<3\lor x>3