Inverse Functions 2

Topic:
Functions

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)?

Check all that apply

Using the graph of below, and your knowledge of inverse functions, can you estimate the values of ? What about ?