Inverses

# Inverses - A f d is the amount of sales tax on an item of...

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INVERTIBLE FUNCTIONS 1. In each case, explain or verify that the given function is invertible. Find the inverse function. A. m 1 2 3 4 5 ( ) f m 0.09 2.10 5.60 7.80 9.40 B. where and are constants. 3 ( ) S t At K = + A K C. G(x) x 10 5 0 0 2. The life expectancy, , of a child can be expressed as a function of the year of birth, L y . 66.94 ( ) 0.01 1 y L y y + = + where corresponds to 1950. Use the graph of to estimate . 0 y = ( ) L y 1 (76) L Include a practical interpretation of your answer. 3. Determine if the following functions are invertible. Give reasons for your answers.
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Unformatted text preview: A. ( ) f d is the amount of sales tax on an item of clothing that sells for dollars. d B. is the number of students waiting in line at the UA Catcard Office on the first day of classes ( ) g t as a function of time (since the office opened that morning). C. ( ) cos h x x x = + 4. What families of functions are invertible? Are all members of that family invertible or are there exceptions?...
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