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# Explain, using Theorems 4, 5, 7, and 9, why the function is continuous at every number in its domain. State the domain. $\displaystyle M(x) = \sqrt{1 + \frac{1}{x}}$

## so $M$ has domain $(-\infty,-1] \cup(0, \infty) . M$ is the composite of a root function and a rational function, so it is continuous at every number in its domain by Theorems 7 and 9

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Missouri State University

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University of Michigan - Ann Arbor

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Idaho State University

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Oklahoma State University

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Limits

Derivatives

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp