Find the Domain 7c+4a=0

Problem

7*c+4*a=0

Solution

1. Identify the variables in the equation. Since the task asks for the domain without specifying which variable is the independent one, we typically solve for the dependent variable (usually the one appearing later in the alphabet, c or as specified by context). In a general linear equation 7*c+4*a=0 both a and c are variables.

2. Solve for one variable in terms of the other to view it as a function. If we treat a as the independent variable:

7*c=−4*a

c=−4/7*a

3. Analyze the resulting function for restrictions. The expression −4/7*a is a linear polynomial. Polynomials do not have denominators that can be zero, square roots of negative numbers, or logarithms of non-positive numbers.

4. Determine the domain. Since there are no mathematical restrictions on the input a the variable a can be any real number.

Final Answer

Domain: *(−∞,∞)

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