SOLUTION: If f(x) = (2x+1)/(x-3), then find f-1(x): Write in the form (no spaces): y=f^(-1)(x)=(mx+b)/(x-c)

Algebra ->  Rational-functions -> SOLUTION: If f(x) = (2x+1)/(x-3), then find f-1(x): Write in the form (no spaces): y=f^(-1)(x)=(mx+b)/(x-c)      Log On


   

Question 67254: If f(x) = (2x+1)/(x-3), then find f-1(x):
Write in the form (no spaces): y=f^(-1)(x)=(mx+b)/(x-c)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x) = (2x+1)/(x-3), then find f^-1(x):
Interchange x and y to get:
x=(2y+1)/(y-3)
Solve for y as follows:
xy-3x=2y+1
xy-2y=3x+1
y(x-2)=3x+1
y=(3x+1)/(x-2)
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Write in the form (no spaces): y=f^(-1)(x)=(mx+b)/(x-c)
f^-(x) =(3x+1)/(x-2)
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Cheers,
Stan H.