Question

let g(x) be the inverse of the function f(x), and f/(x) = 1/1+x3 then g/(x) equals

(1) 1/1+g3

(2) 1/1+f3

(3) 1+ g3

(4) 1+f3

Read 1 Solution.

g(x) = f -1(x)

 f(g(x)) = x

differentiating both sides

 g ' (x) = 1/ f '(g(x))

          = 1/ (1 / 1+g3)

 (3) is correct.

Best SolutionVISHAL PHOGAT 11 year ago is this solution helpfull: 3 0

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