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1 vote
The inverse function of f(x) = ex has a asymptote at

User Moishy
by
4.9k points

2 Answers

5 votes

Vertical asymptote at x = 0

User Jonny Wright
by
6.0k points
2 votes

Answer:

x=0

Explanation:

You are given the function
f(x)=e^x. To find it inverse function, express x in terms of y:


y=e^x\\ \\\ln y=x

Now change x into y and y into x:


y=\ln x\\ \\f^(-1)(x)=\ln x

The graph of the function
f^(-1)(x) has vertical asymptote x=0.

User Bcrist
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4.7k points