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

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

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

domain

\frac{x - 3}{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

in v erse f (x) = - x + 11

a sy m pt o t es f (x) = \frac{- 2 x}{x - 3}

l in e (4, 0), (2, 4)

r an g e 5 x^{4} - 8

d i s t an ce (7, - 1), (5, 9)