Find the Domain 2y=6x+8

Problem

2*y=6*x+8

Solution

1. Isolate the dependent variable by dividing both sides of the equation by 2 to express y as a function of x

y=3*x+4

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

3. Determine potential restrictions such as division by zero or square roots of negative numbers. Since there are no denominators containing x and no radicals with even roots, there are no restrictions on the input.

4. State the domain based on the lack of restrictions. For any linear function of the form y=m*x+b the input x can be any real number.

Final Answer

Domain: *(−∞,∞)

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