Course:MATH102/Question Challenge/2010 December 02d

Question

Suppose the tangent line to the graph of y = ƒ(x) at x = 1 is y = 2x + 1, and ƒ(3) = 2.

(d) Suppose ƒ has an inverse function ƒ-1. Given the information from previous parts of this question, there is one number c for which both ƒ-1(c) and (ƒ-1)'(c) can be found. What are c, ƒ-1(c) and (ƒ-1)'(c)?

Solutions

Solution
$c=2$ $f^{-1}(c)=3$ $f'^{-1}(c)=1$