SOLUTION: the function f(x) = 8x+9/x-2 is one to one. find an equation for f^-1(x), the inverse function

Algebra ->  Functions -> SOLUTION: the function f(x) = 8x+9/x-2 is one to one. find an equation for f^-1(x), the inverse function      Log On


   

Question 874992: the function f(x) = 8x+9/x-2 is one to one.
find an equation for f^-1(x), the inverse function
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
y = 8x+9 / (x-2)
solve for x
yx -2y = 8x + 9
yx -8x = 2y + 9
x = (2y+9) / (y-8)
interchange x's and y's
y = (2x+9) / (x-8)
f inverse (x) = (2x+9) / (x-8)