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Definition of Inverse function
1. Noun. 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.
Definition of Inverse function
1. Noun. (mathematics) A function that does exactly the opposite of another; formally the inverse function of a function exists such that: . ¹
¹ Source: wiktionary.com
Lexicographical Neighbors of Inverse Function
Literary usage of Inverse function
Below you will find example usage of this term as found in modern and/or classical literature:
1. The Encyclopedia Americana: A Library of Universal Knowledge (1918)
"The only Abelian integrals whose inverse function is single-valued are those
which lead to the exponential (including trigonometric) and the elliptic ..."
2. Proceedings of the Cambridge Philosophical Society by Cambridge Philosophical Society (1880)
"To express u-, the inverse function, in terms of x, we may either ise a notation
employed by Gudermann ..."
3. A Course in Mathematical Analysis by Edouard Goursat, Earle Raymond Hedrick (1916)
"The inverse function to the elliptic integral of the first kind. Let R (z) be a
polynomial of the third or of the fourth degree which is prime to its ..."
4. Plane and Spherical Trigonometry by George Neander Bauer, William Ellsworth Brooke (1917)
"After introducing the fundamental idea of an inverse function, ... The last form
should be used until the conception of an inverse function is perfectly ..."
5. Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising by Charles Davies, William Guy Peck (1855)
"If it be agreed to call the first a direct function of the second, then is the
second an inverse function of the first. The forms of direct and inverse ..."
6. An Elementary Course of Infinitesimal Calculus by Horace Lamb (1897)
"Again, it may (and in general will) happen that through some ranges of y there
are no corresponding values of x, ie the inverse function does not exist. ..."
7. A Treatise on Plane Trigonometry by Ernest William Hobson (1891)
"If y is a function f(x) of x, then x may also be regarded as a function of y ;
this function of y, is called the inverse function of f (x), and is usually ..."
8. Lectures on the Theory of Functions of Real Variables by James Pierpont (1906)
"The inverse function *=g(y) (2 also satisfies 1). Let us arrange 1) with respect
to x. If m is the highest degree of x in this equation, we get QQ(y)xm + ..."
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