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

f (x) = \frac{1}{x ^{2} + 3 x - 28}

y = x - 3, (- 2, 1)

f (x) = \frac{x ^{2}}{x ^{2} + 1}

f (x) = x^{2} + 5 x - 14

f (x) = \frac{1}{( x - 3 )}