100921 Notes Inverses of functions

# 100921 Notes Inverses of functions - Name Date Honors...

• Notes
• apiccirello
• 2

This preview shows page 1 - 2 out of 2 pages.

Name Honors Algebra 2 (J. Sera) Date _________________________ Class notes Inverses of functions Pairs of inverse functions Here are some ways to tell whether two functions f ( x ) and g ( x ) are inverses of each other. Using composites: f ( x ) and g ( x ) are inverses if f ( g ( x )) = x and g ( f ( x )) = x . Thinking about function rules: f ( x ) and g ( x ) are inverses if their rules “reverse” or “undo” each other. Using their tables: f ( x ) and g ( x ) are inverses if their tables are related by exchanging the input and output columns. Using their graphs: f ( x ) and g ( x ) are inverses if whenever ( a , b ) is on the graph of one function, ( b , a ) is on the graph of the other function. Using a reflection property of graphs: f ( x ) and g ( x ) are inverses if their graphs are “mirror images” of each other across the diagonal line y = x . Making the inverse of a function If you start with just one function f ( x ), here are some ways to make its inverse. Making a table: Take the table of f ( x ), and exchange the input and output columns.

Subscribe to view the full document.

{[ snackBarMessage ]}

###### "Before using Course Hero my grade was at 78%. By the end of the semester my grade was at 90%. I could not have done it without all the class material I found."
— Christopher R., University of Rhode Island '15, Course Hero Intern

### 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