Precalc0108to0109-page12

Precalc0108to0109-page12 - (Section 1.9: Inverses of...

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(Section 1.9: Inverses of One-to-One Functions) 1.9.2 PART B: INVERSE FUNCTIONS We will begin by reviewing additive and multiplicative inverses. • 0 is the additive identity of ± , because, if we add 0 to any real number, the result is identical to that number. Similarly, 1 is the multiplicative identity . • The additive inverse of, say, the real number 3 is ± 3 . That is, ± 3 is the inverse of 3 with respect to addition . This is because, if the two numbers are added, the result is the additive identity , 0. • The multiplicative inverse (or reciprocal ) of 3 is 1 3 . That is, 1 3 is the inverse of 3 with respect to multiplication . This is because, if the two numbers are multiplied, the result is the multiplicative identity , 1. A pair of inverse functions have the property that, when they are composed in either order, the result is the identity
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