(Section 1.9: Inverses of One-to-One Functions) 1.9.2 PART B: INVERSE FUNCTIONSWe will begin by reviewing additive and multiplicative inverses. • 0 is the additive identityof ±, because, if we add 0 to any real number, the result is identical to that number. Similarly, 1 is the multiplicative identity. • The additive inverseof, say, the real number 3 is ±3. That is, ±3is 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 13. That is, 13is 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 functionshave the property that, when they are composedin either order, the result is the identity
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