Domains and Inverse functions
Hi, while I was working on my pre-calc textbook. I came across some questions that I need help on. Showing me how you did it would be more appreciable than giving me the answer. (Bigsmile) Thank you!
1) A figure is in the shape of a rectangle surmounted by an equilateral triangle. The figure has perimeter 25m. among all such figures, find length ''x'' of the base of the figure with the largest area. State the domain of your function.
2)Find the expression for the inverse function f^-1
f(x)= 1/(x-2)^2 if x>2
5 + x if x< -5
3) A cone of height 20m and radius 8m contains half the volume of water that it could contain if it were full. What is the height (or depth) ''h'' of the water?