Find the Domain x=3y+1

Problem

x=3*y+1

Solution

1. Identify the type of equation provided. The equation x=3*y+1 is a linear equation.

2. Solve for y in terms of x to express the relation as a function y=ƒ(x)

3. Subtract 1 from both sides of the equation.

x−1=3*y

4. Divide both sides by 3 to isolate y

y=(x−1)/3

5. Analyze the resulting function ƒ(x)=(x−1)/3 This is a polynomial (linear) function.

6. Determine if there are any restrictions such as division by zero or square roots of negative numbers. Since there are no such restrictions, the function is defined for all real numbers.

7. State the domain in interval notation.

Final Answer

Domain: *(−∞,∞)

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