Find the Domain y=-2/3x+1

Problem

y=−2/3*x+1

Solution

1. Identify the type of function. The given equation y=−2/3*x+1 is a linear function.

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

3. Analyze the expression for x Since x is not in a denominator and is not under a radical, any real number can be substituted for x to produce a valid real number for y

4. Conclude the domain. The domain of any linear function (that is not a vertical line) is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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