Find the Domain 2y=5x+1

Problem

2*y=5*x+1

Solution

1. Solve for y to express the equation as a function of x Divide both sides by 2

y=(5*x+1)/2

2. Identify the function type to determine potential restrictions. The expression (5*x+1)/2 is a linear polynomial.

3. Check for restrictions such as division by zero or square roots of negative numbers. Since there are no variables in the denominator and no radical signs, there are no values of x that make the expression undefined.

4. Determine the domain based on the lack of restrictions. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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