This is my last question. What is the domain of the function below?
f(x)= e^(x-4)-2
I got all real numbers is that correct?
again it has a horizontal asymptote of y = -2 as x--->-oo but is defined for all real x so yes, range is all real x
By the way:
https://www.wolframalpha.com/input/?i=e^%28x-4%29-2+
Thank you. :)
You are welcome :)
Yes, that is correct. The domain of a function is the set of all possible values for the independent variable (in this case, x) such that the function is defined.
In the given function, f(x) = e^(x-4)-2, the only thing that could make the function undefined is the exponential term e^(x-4) because dividing by zero is not allowed. However, since there are no restrictions or limitations on the value of x in the exponential term, the function is defined for all real numbers. Therefore, the domain of the function is indeed all real numbers.