Find the Domain y=5-4x

Problem

y=5−4*x

Solution

1. Identify the type of function. The given equation y=5−4*x is a linear function, which is a specific type of polynomial function.

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

3. Analyze the expression for restrictions. Since there are no denominators containing x and no even-indexed roots (like square roots), the variable x can take any real number value.

4. Conclude the domain. The domain of any polynomial function is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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