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)?

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