julio3467 julio3467
  • 07-06-2019
  • Mathematics
contestada

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

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frika
frika frika
  • 07-06-2019

Answer:

x=0

Step-by-step explanation:

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

[tex]y=e^x\\ \\\ln y=x[/tex]

Now change x into y and y into x:

[tex]y=\ln x\\ \\f^{-1}(x)=\ln x[/tex]

The graph of the function [tex]f^{-1}(x)[/tex] has vertical asymptote x=0.

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gcantiga44
gcantiga44 gcantiga44
  • 27-04-2020

Vertical asymptote at x = 0

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