If g is the inverse of f and if #f(x)=x^3-5x^2+2x-1#, how do you calculate g'(-9) if the domain of f(x) is the set of integers less than 0? Thanks in advance for taking time to help me out. Steve?
We have, in this case
That is: we need
We must solve
If you know the rational zeros theorem, use it. Otherwise, you'll need to solve "by inspection". (That's the fancy name for "guess and check".)