1. The problem statement, all variables and given/known data The function f(x) has an inverse function, g(x). Find g'(5). 2. Relevant equations [itex]f(x) = x^5 + 2x^2 + 2x[/itex] 3. The attempt at a solution I don't see how I can possibly find the inverse of this function. So I opted to use the derivative rule for inverses. [itex] f'(x) = 5x^4 + 4x + 2[/itex] [itex] 5 = x^5 + 2x^2 + 2x[/itex] This doesn't help me either. I need to solve for x in the second equation and substitute that x in the derivative. In essence, I can't find x of f(x), and without that I can't find the value of f'(x), which is the reciprocal of g'(x). Any help would be appreciated!