Find the Domain 140=(4x+30)+y

Problem

140=(4*x+30)+y

Solution

1. Identify the type of equation. This is a linear equation in two variables, x and y

2. Isolate the dependent variable y to express it as a function of x

y=140−(4*x+30)

3. Simplify the expression by distributing the negative sign and combining like terms.

y=110−4*x

4. Analyze the resulting function ƒ(x)=110−4*x Since this is a polynomial (specifically a linear function), there are no values of x that would cause division by zero or the square root of a negative number.

5. Determine the domain. Because there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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