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Here is a stupid method::

var('x,y')
f(x) = log(x)
g(x) = solve(x == f(y), y)[0].rhs()
print g

Here is a compilation from several scattered sources:

• Sage can compute the inverse of a power series. See:
  • link:Reference Manual
  • link:sage-support discussion
  • link:trac #7644 (closed)
• Somebody once asked for the derivative of the inverse of a general symbolic function, but nobody could figure out how to find just the inverse:
  • link:sage-support dicussion
• Mathematica has what you are looking for:
  • link:InverseFunction

Here is a stupid method::method:

var('x,y')
f(x) = log(x)
g(x) = solve(x == f(y), y)[0].rhs()
print g

Here is a compilation from several scattered sources:

• Sage can compute the inverse of a power series. See:
  • link:Reference Manual
  • link:sage-support discussion
  • link:trac #7644 (closed)
• Somebody once asked for the derivative of the inverse of a general symbolic function, but nobody could figure out how to find just the inverse:
  • link:sage-support dicussiondiscussion
• Mathematica has what you are looking for:
  • link:InverseFunction