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

Algebra.Com
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)   (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)

RELATED QUESTIONS

3.16 The function f(x)=3x+2 is one-to-one Find an equation for f^-1(x), the inverse (answered by rothauserc)
The function f(x)=x+19 is one-to-one. Find an equation for f^-1(x), the inverse... (answered by Alan3354,greenestamps)
The function f(x)=7x+2/x-3, x≠3, is one-to-one. Find an equation for f^-1(x), the... (answered by ankor@dixie-net.com)
The function f(x)=7x+3 is one-to-one. Find an equation for f^-1(x), the inverse function (answered by josgarithmetic)
Write an equation for the inverse of the given​ one-to-one function. f(x) =... (answered by josgarithmetic)
3.24 The function of f(x)=8x+2 is one to one Find an equation for f^-1(x), the... (answered by fractalier)
Given the one-to-one function f(x) = x^{1/3} + 2, find the inverse... (answered by Fombitz)
If f is one-to-one find an equation for its inverse:... (answered by jim_thompson5910)
The one-to-one function f is defined below. f(x)=9-x^3 Find f^-1(x), where f^-1 is the (answered by ikleyn)