Sostantivo
For a given function f, another function, denoted f⁻¹, that reverses the mapping action of f; (formally) given a function f:X→Y, a function g:Y→X such that, ∀x∈X,f(x)=y⟹g(y)=x.
- Parole correlate
- Esempi
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Halving is the inverse function of doubling.
If an inverse function exists for a given function, then it is unique.
Altri esempi (4)
The inverse function of an inverse function is the original function.
In the context of linearization, we recall the reflective property of inverse functions; the ƒ curve contains the point (a,b) if and only if the ƒ⁻¹ curve contains the point (b,a).
An example of another function that has an inverse function is f(x)#61;4x#43;5. Its inverse is f#123;-1#125;(x)#61;#92;frac#123;x-5#125;#123;4#125;.
In words, this formula says that the derivative of a function, f, with respect to x, is the reciprocal of the derivative of its inverse function with respect to f.
Sostantivo
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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