so, if, for example, the x coordinate of the vertex is , then the largest restricted domain for which f has an inverse function is or
we find the inverse function by switching x and y and solving for y2nd part is to find the inverse using the original function and the domain i found in part 1 and state its domain and range.
that is, take
then switch x and y to obtain
now solve for y
the domain and range of your inverse function depends on what interval you chose for the first question, but i will say this, the domain of your original function is the range of your inverse function, and the range of your inverse function is the domain of your original function
do you know how to find the domain and range?
can you continue?