Find the Domain y=x*3+2

Problem

y=x⋅3+2

Solution

1. Identify the type of function. The given equation y=3*x+2 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input values, such as division by zero (fractions with variables in the denominator) or taking the even root of a negative number.

3. Determine the set of all possible input values for x Since any real number can be multiplied by 3 and added to 2, the function is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented from negative infinity to positive infinity.

Final Answer

Domain:(−∞,∞)

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