What is the domain of (x+2)/(x+4) ?

The domain of (x+2)/(x+4) is x -4

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domain of (x+2)/(x+4)

domain

\frac{x + 2}{x + 4}

x < - 4 or x > - 4

Interval Notation

(- \infty, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

x = - 4

The function domain

x < - 4 or x > - 4

4 cos (\frac{x + π}{2})

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

f (x) = 7 x + 8

\frac{1}{3} x^{3} - 2 x^{2} - 12 x + 3

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