Precalc0108to0109-page24

Precalc0108to0109-page24 - (Section 1.9: Inverses of...

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(Section 1.9: Inverses of One-to-One Functions) 1.9.14 Example 10 (Temperature Conversion; Revisiting Example 1) Let f be the one-to-one function that converts from Celsius to Fahrenheit . Then, f ± 1 is the function that converts from Fahrenheit to Celsius . The following is left for the reader in the Exercises: • Show that fx () = 9 5 x + 32 by developing a linear model for f such that f 0 = 32 and f 100 = 212 . • Show that f ± 1 x = 5 9 x ± 32 in three different ways: •• Develop a linear model for f ± 1 such that f ± 1 32 = 0 and f ± 1 212 = 100 . •• Begin with = 9 5 x + 32 and apply the Conceptual Approach used in Example 6. •• Begin with
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