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??