Let $f(x) = (3x -1) /( x - 2 )$ and $f(g(x)) =x$ , how do you find g(x)?

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Answer 1 · 2015-05-11T21:49:13

I have treated $g(x)$ as an "item" and used as $x$ in a normal equation:
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Let f(x) = (3x -1) /( x - 2 ) f(x) = (3x -1) /( x - 2 ) and f(g(x)) =xf(g(x)) =x, how do you find g(x)?