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词汇 Function inverse
分类 英语词汇 英语翻译词典
释义

Function inverse

英语百科

Inverse function

A function f and its inverse f −1. Because f maps a to 3, the inverse f −1 maps 3 back to a.
If f maps X to Y, then f −1 maps Y back to X.
The inverse of g ∘ f is f −1 ∘ g −1.
The graphs of y = f(x) and y = f −1(x). The dotted line is y = x.

In mathematics, if a function f(x)=y is injective, exactly one function g(y) will exist such that g(y)=x, otherwise no such function will exist. The function g(y) is called the inverse function of f(x) because it "reverses" f(x); that is to say g(f(x)) = x.
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