The discussion focuses on finding the domain of the function 1/[e^(x+y)-3]. The key condition derived is that e^(x+y) must be greater than or equal to 3, which leads to the conclusion that x+y cannot equal ln(3). Participants emphasize the importance of avoiding division by zero, which occurs when e^(x+y) equals 3. The method of separating variables using the property e^(x+y) = e^x * e^y is acknowledged but deemed less useful for this specific problem.
PREREQUISITESMathematics students, educators, and anyone interested in understanding the behavior of exponential functions and their domains in calculus.
pickslides said:
The only possible "difficulty" with that is that you cannot divide by 0. That, in turn, means that e^{x+y} cannot be equal to 3. So, what can x+ y not be equal to?bart11 said:
