Inverse Function Problem

**mastermin346** · November 8th 2010, 05:32 AM

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 $q$

**Ackbeet** · November 8th 2010, 05:49 AM

What ideas have you had so far?

**mastermin346** · November 8th 2010, 06:11 AM

$f^{-1}(x) = \frac{2+kx}{23x}$ right?

**Ackbeet** · November 8th 2010, 06:22 AM

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!

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