Find the Domain e^(-2t)-e^(-3t)

Problem

e(−2*t)−e(−3*t)

Solution

1. Identify the components of the expression. The expression consists of two exponential functions, e(−2*t) and e(−3*t) subtracted from one another.

2. Analyze the domain of the natural exponential function. The function ƒ(u)=eu is defined for all real numbers u

3. Check the exponents for restrictions. The exponents −2*t and −3*t are linear polynomials, which are defined for all real values of t

4. Determine the intersection of the domains. Since there are no denominators that could be zero and no square roots of negative numbers, the expression is defined for all real numbers.

Final Answer

Domain:(−∞,∞)

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