Find the Domain ax^2+bx=0

Problem

a*x2+b*x=0

Solution

1. Identify the type of expression given. The expression a*x2+b*x is a polynomial function of x

2. Recall the definition of a domain. The domain of a function is the set of all possible input values for x that result in a real output.

3. Analyze the expression for restrictions. Polynomials do not contain division by zero, square roots of negative numbers, or logarithms.

4. Determine the domain. Since there are no restrictions on the variable x the expression is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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