Let \(f\) be defined by \(f(x) = \left\{ \begin{array}{cl} 3-x & \text{ if } x \leq 3, \\ -x^3+2x^2+3x & \text{ if } x>3. \end{array} \right.\)
Calculate \(f^{-1}(0)+f^{-1}(6)\)
+36915 .....You'll need to find the inverse functions
for f(0) you need inverse of 3-x which is 3-x f-1(0) = 3
for 6 you need to find when -x^3 + 2x^2 + 3x = 6 or when f(?) = 6 this occurs at ? = 2
3+2 = 5
