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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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