Please Help - Let f(x)=x−1/x+1. (a) Evaluate f^−1(3)= (b) Evaluate (f^−1)′(3)= Thank you

Mrcalvin asked May 16, 2023

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Please Help - Let f(x)=x−1/x+1.

(a) Evaluate f^−1(3)=

(b) Evaluate (f^−1)′(3)=
Thank you

Mrcalvin asked May 16, 2023

3.1k points

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10 votes

$\\ \sf\longmapsto f(x)=(x-1)/(x+1)$

$\\ \sf\longmapsto f^(-1)(x)=(1)/(f(x))=(x+1)/(x-1)$

$\\ \sf\longmapsto f^(-1)(3)=(3+1)/(3-1)=(4)/(2)=2$

$\\ \sf\longmapsto f^(-1)(3)$

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