SOLUTION: find a formula for the inverse of the function if it exists f(x)=x/x-1 Thank you tutors

Question 145442: find a formula for the inverse of the function if it exists
f(x)=x/x-1
Thank you tutors
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
f(x)=x/x-1
------------
y = x / (x-1)
Interchange x and y to get:
x = y/(y-1)
Solve for y:
y = xy - x
xy -y = x
y(1-x) = x
y = x/(1-x) is the inverse of y = x(x-1)
=======================
Cheers,
Stan H.

RELATED QUESTIONS
Find the inverse function, if it exists of... (answered by MathLover1)

Find the inverse for the function F (x)=3x-5 If no inverse exists explain... (answered by CubeyThePenguin)

Show that the function f(x)=x/x-4 is a one to one function Find the inverse of the... (answered by jim_thompson5910)

Find a formula for the inverse. f(x)=6x f^-1(x)= thank... (answered by josgarithmetic)

Find the inverse of each function, if it exists. Show work and circle answer f(x)=6x + (answered by jim_thompson5910)

Find the inverse of each function, if it exists. Show your work and circle your answer. (answered by CubeyThePenguin)

Find the inverse of the function, f^-1(x), if it exists. f(x)= -2 - 5x / 4 + 5x, assume x (answered by jim_thompson5910)

Find a formula for the inverse function f^-1 of the indicated function f. f(x)= 5 +... (answered by drk)

Find the inverse of each function, if it exists. Show all your work & circle your answer (answered by CubeyThePenguin)