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**Unformatted text preview: **5. Which of the functions in the table have an inverse that is a function? Justify your answer. Numbers 1, 2, and 3 do not have an inverse that is a function. Number 4 has an inverse that is a function. Justification: • Numbers 1, 2, and 3 are not-one-to-one functions or • because 1 and 2 are even functions they will not have an inverse that is a function, and number 3 decreases into a minimum then increases. • Looking at the graph or at the numerical tables of #4, the function is strictly decreasing, but y = 1 is a horizontal asymptote so the values of the range are never repeated. When x < 0, y < 1 and when x > 0, y > 1. 6. For those function/s that have an inverse find ) ( 1 x f − . The composite function in #4 has an inverse: ( ) 1 2 1 log ) ( − − = x x f...

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