Find the Domain (-8x^2+15x+28)-(-8^2+44x+9)

Problem

(−8*x2+15*x+28)−(−8*x2+44*x+9)

Solution

1. Identify the type of function represented by the expression. The expression is a polynomial because it consists of terms with non-negative integer exponents of x

2. Simplify the expression by distributing the negative sign and combining like terms.

(−8*x2+15*x+28)−(−8*x2+44*x+9)

−8*x2+15*x+28+8*x2−44*x−9

−29*x+19

3. Determine the domain of the resulting linear polynomial. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers.

4. Express the domain in interval notation. Since x can be any real number, the domain is from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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