# Math Help - inverse funtions

1. ## inverse funtions

Use the graph of f(x) and the tangent line shown below to answer the following.

ok i cant get the graph to show up, but the points are (2.1,5.3) and (2,5)
these points are one the tangent line, but (2,5) is also on the graph of f(x)
i hope this helps enough thanks...

(a) If k(x) = 1/ f(x), then
k '(2) =

(b) If g(x) = f -1(x), then
g '(5) =

2. Originally Posted by mathlete
Use the graph of f(x) and the tangent line shown below to answer the following.

ok i cant get the graph to show up, but the points are (2.1,5.3) and (2,5)
these points are one the tangent line, but (2,5) is also on the graph of f(x)
i hope this helps enough thanks...

(a) If k(x) = 1/ f(x), then
k '(2) =

(b) If g(x) = f -1(x), then
g '(5) =
$k(x)=f^{-1}(x)$

$k'(x)=-f^{-2}(x)f'(x) \Rightarrow \frac{-f'(x)}{f(x)^2}$