What is the domain of (2+x)/(x+1) ?

The domain of (2+x)/(x+1) is x -1

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domain of (2+x)/(x+1)

domain

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

x < - 1 or x > - 1

Interval Notation

(- \infty, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

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

f (x) = \frac{6}{( x - 1 ) ^{3}}

1 + x - x^{2} - x^{3}

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

f (x) = x^{2} - 10 x + 25