Question

Suppose f (x) = x^3 + x and g(x) = the inverse of f(x). Find g'(2).

Answer 1

first, solve for the inverse of f(x)
then look for the derivative of g(x)
then plug-in 2 or you can directly get the derivative of g(2)

Answer 2

I'm having a hard time solving for the inverse of f(x).

Answer 3

how so, do you even know what to do?

Answer 4

http://www.mathsisfun.com/sets/function-inverse.html

Answer 5

x=y^3+y. how do you isolate the y so you can derive?