SOLUTION: Function f is one-to-one. Find it's inverse. f(x) = 3/5x-4 (3 devided by 5x-4). I thought you were supposed to flip flop the problem which would make it: f(x) = 5x-4/3

Algebra ->  Functions -> SOLUTION: Function f is one-to-one. Find it's inverse. f(x) = 3/5x-4 (3 devided by 5x-4). I thought you were supposed to flip flop the problem which would make it: f(x) = 5x-4/3       Log On


   

Question 135515: Function f is one-to-one. Find it's inverse.
f(x) = 3/5x-4 (3 devided by 5x-4).
I thought you were supposed to flip flop the problem which would make it:
f(x) = 5x-4/3 (5x-4 devided by 3) That was incorrect.
Can you please help? Thank you.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+3%2F%285x-4%29+
y+=+3%2F%285x-4%29+
The flip-flop part means "replace 'y with x' and 'x with y' everywhere in the original equation". That makes it:
x+=+3%2F%285y-4%29+
Now solve for y to get the inverse
5y-4+=+3%2Fx+
5y=+%283%2Fx%29+%2B+4+
5y+=+%283%2B4x%29%2Fx
y+=+%283%2B4x%29%2F%285x%29+

check your answer. In the original equation, x=0 yields y = -3/4
Plug x = -3/4 into the inverse. x = -3/4 yields y = 0, so we look golden