What is the domain of y=(x-5)/(x+2) ?

The domain of y=(x-5)/(x+2) is x -2

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domain of y=(x-5)/(x+2)

domain

y = \frac{x - 5}{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 - 3}{x ^{2} - 7 x + 12}

4 x + 4

f (x) = 26

f (x) = \frac{7}{5 x + 40}

\frac{1}{x ^{2} - 1}

What is the domain of y=(x-5)/(x+2) ?
The domain of y=(x-5)/(x+2) is x<-2\lor x>-2