Find the Domain y=x-4

Problem

y=x−4

Solution

1. Identify the type of function. The given equation y=x−4 is a linear function, which is a specific type of polynomial function.

2. Analyze the expression for any restrictions. Domain restrictions typically occur with denominators (which cannot be zero), square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine if any values of x are excluded. Since there are no fractions, radicals, or logarithms in the expression x−4 any real number can be substituted for x

4. State the domain in interval notation. Because x can be any real number, the domain extends from negative infinity to positive infinity.

Final Answer

Domain:(−∞,∞)

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