Functional inverse.
Syntax
g = finverse(f)
g = finverse(f,u)
Description
g = finverse(f)
returns the functional inverse of f
. f
is a scalar sym
representing a function of one symbolic variable, say x
. Then g
is a scalar sym
that satisfies g(f(x)) = x
. That is, finverse(f)
returns f-1, provided f-1 exists.
g = finverse(f,v)
uses the symbolic variable v
, where v
is a sym
, as the independent variable. Then g
is a scalar sym
that satisfies g(f(v)) = v
. Use this form when f
contains more than one symbolic variable.
Examples
finverse(1/tan(x))
returns
atan(1/x)
finverse(exp(u-2*v),u)
returns
2*v+log(u)
See Also
compose
, syms
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