(Section 1.9: Inverses of One-to-One Functions) 1.9.12 Step 3: Solve for y. 7x=y3+5Multiplied both sides by 7()7x±5=y3Subtracted 5 from both sides7x±53=yCubed both sidesWARNING 3:Squaringboth sides of an equation may ormay not yield an equivalent equation.y=7x±53• Compare these steps with Steps 3*, 2*, and 1* in Example 6. Step 4: Replace ywith f±1x, if we obtain a function. f±1x=7x±53• f±1is a function, becausefwas one-to-one. Step 5: If necessary, impose restrictions and ensure that Domf=Rangef±1, and Domf±1=Rangef.
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