Linear Sentences in One Variable
Relations and Functions
If two functions have a common domain, then arithmetic can be performed with them using the following definitions.
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Example 1: If
f (
x) =
x + 4 and
g(
x) =
x2 − 2
x − 3, find each of the following and determine the common domain.
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The common domain is {all real numbers}.
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The common domain is {all real numbers}.
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Use the distributive property.
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The common domain is {all real numbers}.
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This expression is undefined when x = 3 or when x = −1. So the common domain is {all real numbers except 3 or −1}.
