Inverses
Finding an Inverse
Examples
Example 1 If a function answers the question: "I have this many spoons, how much do they weigh?" The inverse answers the question: "My spoons weigh this much, how many do I have?"
Example 2 If a function answers the question: "How many hours of music fit on 12 CDs?" The inverse answers the question: "How many CDs do you need for 3 hours of music?"
Example 3 Alice makes $100/day. Use the functionm(t)=100t to answer the question "After 3 days, how much money has she made?"
The inverse question, "If Alice has made $300, how many days has she worked?" gives the same relationship, but reverses the dependent and independent variables. Given any amount of money, divide it by 100 to find how many days she has worked. Use the function of t(m)= m/100 to find the inverse of the function.