SOLUTION: I am looking for the inverse function for f(x)= e^(2x). I have found f^-1(x)=1/2 In(x), yet I can not find the others that also apply to this function and I am also unsure if f(

Question 1017935: I am looking for the inverse function for f(x)= e^(2x).
I have found f^-1(x)=1/2 In(x), yet I can not find the others that also apply to this function and I am also unsure if f(x)=e^(2x) if the exponential function is its own inverse.
The choices are:
1. f^-1(x)= 1/e^(2x)
2. f^-1(x) log_2(x)
3.f^-1(x)= In√x
4. f^-1(x)= In(x^2)
Please help me with this problem.
Thank you.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If a function is one-to-one, it has a unique inverse function. The inverse of an expential function is a logarithmic function, so it cannot be itself.

is correct. To check, you can simply compute

Similarly,

. So they are inverses.
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