SOLUTION: Find the domain and range of the inverse of the function f(x)= 7 + 3e^x. I found the inverse to be y =ln(x-7)/3. I do not know how to find the domain and range of the equation. I k

Algebra ->  Functions -> SOLUTION: Find the domain and range of the inverse of the function f(x)= 7 + 3e^x. I found the inverse to be y =ln(x-7)/3. I do not know how to find the domain and range of the equation. I k      Log On


   

Question 238207: Find the domain and range of the inverse of the function f(x)= 7 + 3e^x. I found the inverse to be y =ln(x-7)/3. I do not know how to find the domain and range of the equation. I know that the range of the original function is the domain of the invrse function, but that is it.
Answer by solver91311(24713) About Me  (Show Source):
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The domain of is

So if the function argument is , we need to describe the set of all such that is greater than zero.



Hence the domain of your function is:

If you graph you will see that the range is also . This makes sense because the range of is and you have just moved everything up 7 units.

John