Find the Domain 5y=x-7

Problem

5*y=x−7

Solution

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

y=(x−7)/5

2. Identify the type of function.

y=1/5*x−7/5

3. Analyze the expression for any restrictions. This is a linear function, which is a type of polynomial. Polynomials do not have denominators containing variables or square roots of negative numbers.

4. Determine the domain. Since there are no values of x that make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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