Find the Domain -0.1x+2.1y=-9.7

Problem

−0.1*x+2.1*y=−9.7

Solution

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

2. Determine the context of the domain. In the context of a function y=ƒ(x) the domain is the set of all possible input values for x that result in a real output for y

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

2.1*y=0.1*x−9.7

y=(0.1*x−9.7)/2.1

4. Analyze the resulting expression. The expression (0.1*x−9.7)/2.1 is a polynomial (specifically a linear function), which is defined for all real numbers. There are no square roots of negative numbers or divisions by zero involving the variable x

5. Conclude that x can be any real number.

Final Answer

Domain: *(−∞,∞)

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