How would I go about finding the inverse of the function f(x)=3+x+e^x

?

I can rewrite the forumla interchanging the x and y variables to obtain

x = 3+y+e^y

but I'm not sure where to go from here.

thanks!

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- Aug 28th 2012, 04:07 PMkingsolomonsgravehow to factor a polynomial to the yth degree
How would I go about finding the inverse of the function f(x)=3+x+e^x

?

I can rewrite the forumla interchanging the x and y variables to obtain

x = 3+y+e^y

but I'm not sure where to go from here.

thanks! - Aug 28th 2012, 05:23 PMMaxJasperRe: how to factor a polynomial to the yth degree
1st you should find x in terms of y as x=g(y), then switch x & y positions and check domain and range values.

- Aug 28th 2012, 06:43 PMProve ItRe: how to factor a polynomial to the yth degree
- Aug 28th 2012, 09:14 PMVlasevRe: how to factor a polynomial to the yth degree
kingsolomonsgrave, where did you get this question from?

- Aug 29th 2012, 02:40 AMkingsolomonsgraveRe: how to factor a polynomial to the yth degree
- Aug 29th 2012, 02:45 AMkingsolomonsgraveRe: how to factor a polynomial to the yth degree
I got this from section 1.6 of James Stewart's 7th edition of Calculus

this one: http://www.amazon.com/Calculus-Trans.../dp/0538497904

the full question says

f(x)=3+x+e^x and then asks what f^-1(4) is

NOTE: by f^-1(4) I mean 'the inverse function of f at 4' - Aug 29th 2012, 03:17 AMPlatoRe: how to factor a polynomial to the yth degree
- Aug 29th 2012, 09:13 AMMaxJasperRe: how to factor a polynomial to the yth degree
It appears that your own solution is the best mirror image on y=x line:

http://mathhelpforum.com/attachment....1&d=1346260719 - Aug 29th 2012, 09:58 AMkingsolomonsgraveRe: how to factor a polynomial to the yth degree