Find the Domain c(A)^t=(1/C)a^t

Problem

c*(A)t=1/C*at

Solution

1. Identify the independent variable in the function. In the expression c*(A)t=1/C*at the variable t appears in the exponent, suggesting this is an exponential function of t

2. Analyze the constraints for exponential functions. For a general exponential expression bt the exponent t can be any real number.

3. Check for denominators or roots. The expression 1/C*at contains a constant C in the denominator. For the expression to be defined, we must assume C≠0

4. Determine the domain. Since there are no logarithms, square roots of negative numbers, or variables in the denominator that would restrict t the variable t can take any value from negative infinity to positive infinity.

5. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain=(−∞,∞)

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