Kutztown University of Pennsylvania Operations on functions Inverses Questions

A) Define the inverse of a function f

Refer to Page 266 in the textbook and videos on canvas

B) Show that the are inverse of each other

2) A) What does it mean by saying f is an odd function?

Refer to pages 247-248 in the book and videos on canvas

B) What does it meant by saying g is an even function?

Refer to pages 247-248 in the book and videos oncanvas

C) Assuming f and h are odd functions and g is an even function, show that

i) f+h is an odd function

ii) fg is an odd function

3) Let the function ALPH map each integer between 1 and 26 to the corresponding lowercase letter of the alphabet. Show that the function ALPH is 1-1.

4) Consider the functions and . Looking at their graphs (you can use a graphing app for graphing this) , what do you notice? How are f(x) and g(x) related?