SOLUTION: Show that the function f(x)=x/x-4 is a one to one function Find the inverse of the function Thank you tutors

Algebra ->  Functions -> SOLUTION: Show that the function f(x)=x/x-4 is a one to one function Find the inverse of the function Thank you tutors      Log On


   

Question 144396: Show that the function f(x)=x/x-4 is a one to one function
Find the inverse of the function
Thank you tutors
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=x%2F%28x-4%29 Start with the given equation


x=y%2F%28y-4%29 Switch x and y


x%28y-4%29=y Multiply both sides by y-4


xy-4x=y Distribute


-4x=y-xy Subtract xy from both sides


-4x=y%281-x%29 Factor out the GCF y


-4x%2F%281-x%29=y Divide both sides by 1-x



So the inverse function is

f%28x%29=-4x%2F%281-x%29