Find the Domain 4(x-8)=5(y-9)

Problem

4*(x−8)=5*(y−9)

Solution

1. Identify the type of equation. The given equation 4*(x−8)=5*(y−9) is a linear equation in two variables, x and y

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

4*x−32=5*y−45

5*y=4*x+13

y=(4*x+13)/5

3. Analyze the resulting function y=ƒ(x) This is a linear function, which is a type of polynomial function.

4. Determine the restrictions on the input x Since there are no denominators containing x no square roots of negative values, and no logarithms, x can be any real number.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain:(−∞,∞)

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