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Recall from Section 7.2 that to write the rule for the inverse of a function, you can exchange  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 . Because the values of  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are switched, the domain of the function will be the range of its inverse and vice versa. Example 2: Find the inverse of each function. Determine whether it is a function, and state its domain and its range. a.  EMBED Equation.DSMT4  b.  EMBED Equation.DSMT4   DAY TWO: You have seen that the inverses of functions are not necessarily functions. When both a relation and its inverse are functions, the relation is called a _________________________________________. In a one-to-one function, each  EMBED Equation.DSMT4 -value is paired with exactly one  EMBED Equation.DSMT4 -value. You can use composition of functions to verify that two functions are inverses. Because inverse functions undo each other, when you compare two inverses the result is the input ________. Identifying Inverse FunctionsWordsAlgebraExampleIf the compositions of two functions equal the input value, the functions are inverses.If  EMBED Equation.DSMT4 , then  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4  are inverse functions. EMBED Equation.DSMT4  and  EMBED Equation.DSMT4   EMBED Equation.DSMT4   EMBED Equation.DSMT4  Example 3: Determine by composition whether each pair of functions are inverses or not. a.  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 b. For  EMBED Equation.DSMT4 ,  EMBED Equation.DSMT4  and  EMBED Equation.DSMT4 .  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