(Section 1.9: Inverses of One-to-One Functions) 1.9.10 PART E: FINDING FORMULAS FOR INVERSE FUNCTIONSIffis a one-to-one function, and if its formula can be expressed algebraically, then we should be able to find a formula for f±1. Conceptual Approach to Finding the Inverse of a One-to-One FunctionfTo determine f±1, we need to invert(or “undo”) the steps applied byfin reverseorder(WARNING 2). (See the Exercises.) • Also, if necessary, impose restrictions and ensure that Domf()=Rangef±1, and Domf±1=Rangef. (See Example 10.) TIP 1:Similarly, when dressing, you put on your socks before your shoes, but, when undressing, you remove your shoes before your socks. Example 6 (Conceptual Approach to Finding an Inverse)
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