Although we cant do that in our own lives in the

• No School
• AA 1
• 4

This preview shows page 3 - 4 out of 4 pages.

something we’d like to have back. Although we can’t do that in our own lives, in the world of functions, this is sometimes possible. Let me show you. Example 5 I’m thinking of an integer between 4.5 and 5.5, and I’m selfish. I’m not going to tell you what it is. If you tell me to take my number and add three to it, then quadruple it, then subtract 4, then divide by two, I would give you THAT number. Assuming I did, how could you find my original number about which I was so secretive, guarded, and selfish? Was that last example Magic? Mathmagic? Cheesy? The point is, there was a process for working backwards from the original output to arrive at the original input, and this input was unique. This is because the function I used to “scramble” my number was one-to-one , making my cipher “invertible.” When a function is inverted, all the x and y information interchange. Consequently, an invertible function containing the point ( , ) a b means that its inverse will contain the point ( , ) b a . This has several implications, besides 1 ( ) ( ) f a b f b a ³ . If ( ) y g x is 1:1 over a domain, To graphically find the graph of 1 f ³ , reflect the graph of f over the line y = x.

Subscribe to view the full document.

• Fall '19
• Inverse function, Injective function

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes