# Inverse Functions 2

- Author:
- mathtasksproj, Carlos

- 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)?

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