a function obtained by expressing the dependent variable of one function as the independent variable of another; f and g are inverse functions if f(x)=y and g(y)=x
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inverse function::noun | Spocien Dictionary
| Type | Words |
|---|---|
| Type of | function, map, mapping, mathematical function, single-valued function |
Examples of inverse function
inverse function
Another example is the p-adic logarithm, the inverse function of the p-adic exponential.
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A bijective continuous function with continuous inverse function is called a homeomorphism.
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To test if the function is one-to-one, meaning it has an inverse function, use the horizontal line test.
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A common type of implicit function is an inverse function.
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It is interesting to note that the cosine inverse function yields two possible values for the argument.
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Exponentiation occurs in many areas of mathematics and its inverse function is often referred to as the logarithm.
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Intuitively, an inverse function is obtained from f by interchanging the roles of the dependent and independent variables.
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The trigonometric functions are periodic, and hence not injective, so strictly they do not have an inverse function.
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Therefore to define an inverse function we must restrict their domains so that the trigonometric function is bijective.
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