Hello I need help with this excersise of derivative of a inverse function. The excersise says:
If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function evaluated in 9] .
I don't know which is the function f, they only give me f (x+2) and I don't understand how to get f
Please help

asked by Mary
  1. if
    f(x+2) = x^3+1, then replace x with x-2 and you have
    f(x-2+2) = f(x) = (x-2)^3 + 1
    f^-1(x) = ∛(x-1) + 2

    now just take the derivative of the inverse in the normal way.

    posted by Steve
  2. (a) Find an angle between

    that is coterminal with
    (b) Find an angle between

    that is coterminal with

    posted by Ange

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