Inverse Function Definition in MathA function g=f−1 is said to be an inverse function of a function y=f(x) if whenever f(x)=y, we have g(y)=f−1(y)=x. If f and g are inverse functions, then we have f(x)=y if and only if g(y)=x....
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You can use the Mathway widget below to practice finding the inverse of relations consisting of sets of points. Try the entered exercise, or type in your own exercise. Then click the button and select "Find the Relation Inverse" to compare your answer to Mathway's. (Or skip the widget ...
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Define Inverse (function). Inverse (function) synonyms, Inverse (function) pronunciation, Inverse (function) translation, English dictionary definition of Inverse (function). n. Mathematics A function whose relation to a given function is such that their
2.inverse- opposite in nature or effect or relation to another quantity ; "a term is in inverse proportion to another term if it increases (or decreases) as the other decreases (or increases)" math,mathematics,maths- a science (or group of related sciences) dealing with the logic of quant...
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Definition of Inverse InverseInverse In*verse", a. [L. inversus, p. p. of invertere: cf. F. inverse. See Invert.] 1. Opposite in order, relation, or effect; reversed; inverted; reciprocal; -- opposed to direct. 2. (Bot.) Inverted; having a position or mode of attachment the rev...
Thus the above definition gives: [12]f−1{f(x)}=x Key point If f is a function of x then the function g which satisfies g{f(x)} = x for all values of x in the domain of f is called the inverse of f. Key point A function can only have an inverse if there is a one-...