1. The problem statement, all variables and given/known data If f(x)=x^3-x-6 and g is the inverse function of f. what is f'(g(0))g'(0)? the answer is 1...but im not sure how to get that. 2. Relevant equations [f(g(x))]'=f'g(x)*g'(x) 3. The attempt at a solution i wasnt quite sure, but i assumed g(x)=1/(x^3-x-6) ^is this assumption right? then f'(x)=3x^2-1 i also set f(x)=0 to find x=2. but for g(0) i get -1/6 so for f'(g(0))g'(0)= i get -1(-1/6)*(-1) = -1/6 but this is incorrect.