SOLUTION: If f(x)={{{ (x+1)/(1-2x) }}}, find a simplified expression for f({{{ -1/x }}}).

Algebra ->  Functions -> SOLUTION: If f(x)={{{ (x+1)/(1-2x) }}}, find a simplified expression for f({{{ -1/x }}}).      Log On


   

Question 1105535: If f(x)=+%28x%2B1%29%2F%281-2x%29+, find a simplified expression for f(+-1%2Fx+).
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This would be (-1/x)+1 in the numerator, or (x-1)/x
the denominator would be 1-(2/x), or (x-2)/x
This is (x-1)/(x-2) ANSWER
Check.
Let x=3
f(3)=4/-5
f(-1/3)=(2/3)/(1/3)=2
(x-1)/(x-2) is -2/3/-(1/3)=2