Find the Domain -5x+4x+12-13x

Problem

ƒ(x)=−5*x+4*x+12−13*x

Solution

1. Identify the type of function. The expression is a polynomial of the first degree (a linear function).

2. Analyze the expression for restrictions. Polynomials do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the domain. Since there are no values of x that make the expression undefined, the function is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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