(Section 1.9: Inverses of One-to-One Functions) 1.9.14 Example 10 (Temperature Conversion; Revisiting Example 1)Letfbe the one-to-one function that converts from Celsiusto Fahrenheit. Then, f±1is the function that converts from Fahrenheitto Celsius. The following is left for the reader in the Exercises: • Show that fx()=95x+32by developing a linear model forfsuch that f0=32and f100=212. • Show that f±1x=59x±32in three different ways: •• Develop a linear model for f±1such that f±132=0and f±1212=100. •• Begin with =95x+32and apply the Conceptual Approach used in Example 6. •• Begin with
This is the end of the preview.
access the rest of the document.