finverse - Functional inverse
Syntax
g = finverse(f)
g = finverse(f,v)
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
Compute functional inverse for the trigonometric function:
syms x u v;
finverse(1/tan(x))
The result is:
ans =
atan(1/x)
Compute functional inverse for the exponent function:
finverse(exp(u - 2*v), u)
The result is:
ans =
2*v + log(u)
See Also
compose, syms
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