How do you prove algebraically (not graphically): $f (x) =(2x-3)/(3x-2)$ is one to one function?

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Answer 1 · 2016-12-10T10:30:59

See explanation.

$f^(-1)(y)=x=(2y+3)/(3y-2)$ . Readily, the asymptotes are $x= 2/3=y$ .

But for this end behavior, y is bijective.

I don't think that graph should not be included. What is said in

algebra is seen in a graph.

Have a look at the rectangular hyperbola that depicts this equation.

graph{y(3x-2)-2x+3=0 [-10, 10, -5, 5]}

How do you prove algebraically (not graphically): f (x) =(2x-3)/(3x-2)f (x) =(2x-3)/(3x-2) is one to one function?