f and g are inverse functions. If 𝑓(1) = −2 and 𝑓′(1) = 4, find 𝑔′(−2).?

given a function which has an inverse so that ( x ,f ) is  a point in graph of f then ( f , x) is a point on the graph of the inverse function x.......so f depends upon x while x depends upon f.....(df/dx)(dx/df) ≡ 1 ====> derivative of the inverse x(f) satisfies dx/df ≡ 1 / ( df/dx).......Show more

g'(-2) = 1/f'(1) = 1/4...Show more