Inverse Functions 2
The definition of inverse functions.
An inverse function, of a function , is a function such that for all x in the domain of and for all y in the target of .
Informally we can think of undoing the work that has done. Therefore, when evaluating or , the original value, x, will be obtained.
The graph below shows the functions , and the points A and B. By adjusting the values of a, you can move the points A and B.
Question 1
Calculate f(a), for
Question 2
What values do you expect to obtain when calculating g(7.39), g(1.65) and g(0.37)?
Using the graph of below, and your knowledge of inverse functions, can you estimate the values of ? What about ?