SOLUTION: Let f be the function defined by f(x) = 2x + e^x. If g(x) = f^-1(x) for all x and the point (0,1) is on the graph of f, what is the value of g'(1)?

Question 1025281: Let f be the function defined by f(x) = 2x + e^x. If g(x) = f^-1(x) for all x and the point (0,1) is on the graph of f, what is the value of g'(1)?

Found 2 solutions by Fombitz, robertb:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

Find when ,

There is not a value for when this will occur.
So at does not exist.

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
If y = f(x), then . (A statement of the inverse function theorem. f(x) is continuously differentiable at x = 0.)
Now ==> f'(x) =
==>
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