Question

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

Answer 1

See explanation.

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]}