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

, 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.

Calculate f(a), for

What values do you expect to obtain when calculating g(7.39), g(1.65) and g(0.37)?

Wähle alle richtigen Antworten aus

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