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

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

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domain of sqrt(1+1/x)

domain

1 + \frac{1}{x}

x \leq - 1 or x > 0

Interval Notation

(- \infty, - 1] \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \leq - 1 or x > 0

12 y - 3 x = - 72

f (x) = 7 + 4 x^{2}

(- 8.7) (0.1)

f (x) = x^{2} - 14 x + 53

\frac{36 - x ^{2}}{x + 3}