Question

Please Help - Let f(x)=x−1/x+1.

(a) Evaluate f^−1(3)=


(b) Evaluate (f^−1)′(3)=
Thank you

Answer 1

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

• Inverse it

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

#1

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

#2

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