Determine and so that is an inverse function to by considering .
Let . Solve to find an expression for .
Find and when and .
Let and . By considering the simplification of , what, if any, is the relation between and ?
Let . By considering the simplifications of and , what, if any, are the relations between these functions?
Suppose that , where . What must be true of , , , and ?
Which of the following is a necessary condition for a function to be invertible?
Shown are the graphs of functions and g from the set into itself. Write the function as a list of ordered pairs. What can you conclude?
Suppose is the inverse function to . Determine and by considering the composition .