The shape that is generated is a Cone.
A triangle, when rotated about one of it's side will generate a solid in a form of a Cone. The cone could be a hollow one or a solid filled one, depending on the properties of the triangle being rotated.
Answer:
15 - 5x = 5 · 3 - 5 · x = 5(3 - x)
to get the inverse of any expression, we start off by doing a quick switcheroo on the variables and then solve for "y".
![\stackrel{f(x)}{y}=\cfrac{1}{x^2}\implies \stackrel{\textit{quick switcheroo}}{x=\cfrac{1}{y^2}}\implies y^2=\cfrac{1}{x}\implies y=\sqrt{\cfrac{1}{x}}\implies \stackrel{f^{-1}(x)}{y}=\cfrac{1}{\sqrt{x}}](https://tex.z-dn.net/?f=%5Cstackrel%7Bf%28x%29%7D%7By%7D%3D%5Ccfrac%7B1%7D%7Bx%5E2%7D%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bquick%20switcheroo%7D%7D%7Bx%3D%5Ccfrac%7B1%7D%7By%5E2%7D%7D%5Cimplies%20y%5E2%3D%5Ccfrac%7B1%7D%7Bx%7D%5Cimplies%20y%3D%5Csqrt%7B%5Ccfrac%7B1%7D%7Bx%7D%7D%5Cimplies%20%5Cstackrel%7Bf%5E%7B-1%7D%28x%29%7D%7By%7D%3D%5Ccfrac%7B1%7D%7B%5Csqrt%7Bx%7D%7D)