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In '''functional notation''', a ], as a ], is combined with another which is regarded as a symbol of ]. Thus <math>f(x)</math> denotes the ] of the performance of the operation <math>f</math> upon the ] <math>x</math>.<ref>A dictionary of science, literature and art, ed. by W.T. Brande. Pg </ref> If upon this result the same operation were repeated, the new result would be expressed by <math>f</math>, or more concisely by <math>f^2(x)</math>, and so on. The quantity <math>x</math> itself regarded as the result of the same operation <math>f</math> upon some other function; the proper symbol for which is, by analogy, <math>f^{-1} (x)</math>.<ref>A dictionary of science, literature and art, ed. by W.T. Brande. Pg </ref> Thus <math>f</math> and <math>f^{-1}</math> are symbols of ]s, the former cancelling the effect of the latter on the subject <math>x</math>. <math>f(x)</math> and <math>f^{-1} (x)</math> in a similar manner are termed ]s.<ref>A dictionary of science, literature and art, ed. by W.T. Brande. Pg </ref> | |||
==References== | |||
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