SOLUTION: prove algebraically that {{{f(x)=(3x+2)/(7-4x)}}} is a one-to-one function. Thank you.

Algebra ->  Functions -> SOLUTION: prove algebraically that {{{f(x)=(3x+2)/(7-4x)}}} is a one-to-one function. Thank you.       Log On


   

Question 33771: prove algebraically that f%28x%29=%283x%2B2%29%2F%287-4x%29 is a one-to-one function. Thank you.
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
When graphed, if can you draw a horizontal line through a function and only touch one point, that function would be a one-to-one function.
Now, graph that function as best as possible.
Yes, this function is a one-to-one function.