Find the Domain x-y=3

Problem

x−y=3

Solution

1. Rewrite the equation in terms of y to express it as a function of x

y=x−3

2. Identify the type of function.

ƒ(x)=x−3

3. Analyze the function for any restrictions. Since this is a linear function (a polynomial of degree 1), there are no values of x that would result in division by zero or the square root of a negative number.

4. Determine the domain. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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