Find the Domain y=4x-6

Problem

y=4*x−6

Solution

1. Identify the type of function. The given equation y=4*x−6 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, such as division by zero (fractions with variables in the denominator) or taking the square root of a negative number.

3. Determine the set of possible values for x Since any real number can be multiplied by 4 and then have 6 subtracted from it, x can be any real number.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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