# Thread: image sets and inverse set

1. ## image sets and inverse set

Let $\displaystyle F: R \rightarrow R$ be defined by $\displaystyle h(x) = 2 - x^2$.
(a) Find the following F-image sets: F((1,3]) and F((1,2)])
(b) Find the following F-Inverse image sets: $\displaystyle F^{-1}([2,2]), F^{-1}(1, \infty )) , and F^{-1} ([-8,0])$

Can anyone help me understand images and inverse images??

2. Originally Posted by txsoutherngirl84
Let $\displaystyle F: R \rightarrow R$ be defined by $\displaystyle h(x) = 2 - x^2$.
(a) Find the following F-image sets: F((1,3]) and F((1,2)])
(b) Find the following F-Inverse image sets: $\displaystyle F^{-1}([2,2]), F^{-1}(1, \infty )) , and F^{-1} ([-8,0])$

Can anyone help me understand images and inverse images??
Suppose we have two sets A,B which are one to one and onto where $\displaystyle f: A \rightarrow B$ and a and b are elements of A,B respectively.

Lets say A send a to b in B. b is the image of a and a is the pre-image of b.

What would be the inverse the image of b then?

3. can b be its own image since a is the image of a?