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# help!

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Let $f(x) = \frac{2x + 3}{kx - 2}.$Find all real numbers $k$ so that $f^{-1}(x) = f(x).$

I answered (-inf, inf) but its wrong.

interval notation

Jan 8, 2022

#1
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I'll start by stating that I do not have a clue.

Now the discussion:

when x=0     k can be anything

But, for any other given x,  k cannot equal 2/x

But I don't know what the answer is.     I tried graphing it but that just confused me more.

Maybe it is    $$(-\infty, \frac{2}{x}) \cup (\frac{2}{x},\infty)$$    where   $$x\ne 0$$           But I am guessing.

Jan 9, 2022