Find the Domain p(5)=3000(1.025^5)

Problem

p(5)=3000*(1.025)

Solution

1. Identify the type of function represented by the expression. The expression p(t)=3000*(1.025) is an exponential function of the form ƒ(t)=a*bt

2. Determine the constraints on the variable t In a general exponential function where the base b is positive (1.025>0, the exponent can be any real number.

3. Consider the context of the specific value provided. The task asks for the domain of the function evaluated at t=5 Since t=5 is a specific point, we look at the set of all possible input values for the general function p(t)

4. Conclude the domain. For all exponential functions of the form ƒ(t)=a*bt the domain is the set of all real numbers unless otherwise restricted by a specific real-world context.

Final Answer

Domain:(−∞,∞)

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