21fdelatorre1035 21fdelatorre1035
  • 25-03-2020
  • Mathematics
contestada

What is the inverse of the function y=In(x)

Respuesta :

GrandNecro
GrandNecro GrandNecro
  • 25-03-2020

Answer:

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

Step-by-step explanation:

To solve for inverse function:

1.) Solve for x

2.) Replace the x with y, and y with x

[tex]y=ln(x)[/tex]

[tex]e^y=e^{ln(x)}[/tex]     ,     e cancels out ln(·)

[tex]e^y=x[/tex]     ,    replace x with y and y with x to get inverse function.

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

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