Find the Domain p=-3t^2+120t+10

Problem

p=−3*t2+120*t+10

Solution

1. Identify the type of function. The expression p=−3*t2+120*t+10 is a polynomial function, specifically a quadratic.

2. Determine the restrictions. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. State the domain in interval notation. Since there are no values of t that make the expression undefined, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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