Expert: Paul Klarreich - 9/25/2007

Question
If g(x)= 3+x+e^x find g^(-1) when x=4

Answer
Questioner:   manju
Category:  Calculus
Private:  No
 
Subject:  calculus
Question:  If g(x)= 3+x+e^x find g^(-1) when x=4
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Hi, Manju,

I assume you intend  g^(-1) to mean 'g-inverse'.  So your problem says:

If  h(x) is the inverse of g(x), find  h(4).

That means solve the equation  3 + x + e^x = 4.  This is not a standard type of equation, so you either have to be

A. very brilliant, or
B. very lucky, or
C. very old, having seen this before.

The solution is  x = 0, since:

3 + 0 + e^0 = 3 + 0 + 1 = 4.

I leave it to you to guess which one I am.