Find the Domain (-8x+4)-(x^2+x-2)

Problem

ƒ(x)=(−8*x+4)−(x2+x−2)

Solution

1. Identify the type of function. The expression is a polynomial, specifically a quadratic function when simplified.

2. Analyze the constraints of the function. Polynomials are defined for all real numbers because they do not involve division 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 domain consists of all real numbers.

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

Final Answer

Domain:(−∞,∞)

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