Calculus

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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

  • Calculus -

    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.

  • Calculus -

    (a) Find an angle between
    0
    and

    that is coterminal with
    −7π2
    .
    (b) Find an angle between

    and
    360°
    that is coterminal with
    586°

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