# Inverse Function Problem

• November 8th 2010, 04:32 AM
mastermin346
Inverse Function Problem
Given the function $f(x) = \frac{2}{23x - k} , x \neq \frac{k}{3}$ and $f^{-1}(x) = \frac{q}{x} + \frac{5}{3} ,x \neq 0$.Find the value of $k$ and $q$
• November 8th 2010, 04:49 AM
Ackbeet
What ideas have you had so far?
• November 8th 2010, 05:11 AM
mastermin346
$f^{-1}(x) = \frac{2+kx}{23x}$ right?
• November 8th 2010, 05:22 AM
Ackbeet
Incidentally, I have a comment: either

$f(x)=\dfrac{2}{3x-k},$ with $x\not=k/3,$ or

$f(x)=\dfrac{2}{23x-k},$ with $x\not=k/23.$ Which is it?

Let's nail down the exact problem first, before we waste a lot of time solving a different problem from the one you need to solve!