Find the Domain 11x=2y-5

Problem

11*x=2*y−5

Solution

1. Identify the type of equation. The equation 11*x=2*y−5 is a linear equation in two variables.

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

2*y=11*x+5

y=(11*x+5)/2

3. Analyze the resulting function ƒ(x)=(11*x+5)/2 This is a polynomial (specifically, a linear function).

4. Determine any restrictions on the input x Since there are no denominators containing x no square roots of negative numbers, 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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