Find the Domain 8y=6x-12

Problem

8*y=6*x−12

Solution

1. Solve for y to express the equation as a function of x

8*y=6*x−12

y=(6*x−12)/8

y=3/4*x−3/2

2. Identify the type of function. This is a linear function, which is a specific type of polynomial function.

3. Determine any restrictions on the input variable x Polynomial functions do not have denominators containing variables or square roots of negative numbers.

4. Conclude that since there are no values of x that make the expression undefined, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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