What is the domain of (7+1/x)(1/x) ?

The domain of (7+1/x)(1/x) is x 0

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domain of (7+1/x)(1/x)

domain

(7 + \frac{1}{x}) (\frac{1}{x})

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = 5 x^{2} - \frac{12}{x + 3}

- sin (3 x)

\frac{x}{x - 3}

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

f (x) = \frac{4 x + 2}{x - 9}