Find the Domain (3v^2+6v-5)(2v+7)

Problem

ƒ(v)=(3*v2+6*v−5)*(2*v+7)

Solution

1. Identify the type of function. The expression is a polynomial, specifically the product of a quadratic and a linear binomial.

2. Recall the domain rules for polynomials. Polynomial functions 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 restrictions on the variable v the domain includes every real number.

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

Final Answer

Domain: *(−∞,∞)

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