SOLUTION: please help find the inverse of the function f(x)= (5x-3)/(2x+1) Thanks Alot!

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Question 227453: please help find the inverse of the function f(x)= (5x-3)/(2x+1)
Thanks Alot!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= %285x-3%29%2F%282x%2B1%29
:
y = f(x)
:
y = %285x-3%29%2F%282x%2B1%29
:
Swap y for x, solve for y
%285y-3%29%2F%282y%2B1%29 = x
:
5y - 3 = x(2y + 1); multiply both sides by (2y+1)
:
5y - 3 = 2xy + x; subtract 2 xy from both side
:
5y - 2xy = x + 3; add 3 to both sides
:
y(5 - 2x) = x + 3; divide both sides by (5-2x)
:
y = %28x%2B3%29%2F%285-2x%29
:
f-1(x) = %28x%2B3%29%2F%285-2x%29