Find the Domain y=x+3

Problem

y=x+3

Solution

1. Identify the type of function. The given equation y=x+3 is a linear function, which is a specific type of polynomial.

2. Determine if there are any restrictions. For a function to have a restricted domain, there must be operations that are undefined for certain real numbers, such as division by zero or taking the even root of a negative number.

3. Analyze the expression x+3 Since addition is defined for all real numbers and there are no denominators or radicals involving the variable x there are no restrictions on the input.

4. Conclude the domain. Since x can be any real number, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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