SOLUTION: Let Q(x) = x+1/x-1. If W(x) = Q(x) – 1, then W(x) = a. W(x) = x/x+1 b. W(x) = x/x-1 c. W(x) = 2/x-1 d. W(x) = 2x/x-1

Algebra ->  Equations -> SOLUTION: Let Q(x) = x+1/x-1. If W(x) = Q(x) – 1, then W(x) = a. W(x) = x/x+1 b. W(x) = x/x-1 c. W(x) = 2/x-1 d. W(x) = 2x/x-1      Log On


   

Question 152874: Let Q(x) = x+1/x-1. If W(x) = Q(x) – 1, then W(x) =
a. W(x) = x/x+1
b. W(x) = x/x-1
c. W(x) = 2/x-1
d. W(x) = 2x/x-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
W%28x%29+=+Q%28x%29-1 Start with the given equation.


W%28x%29+=+%28x%2B1%29%2F%28x-1%29-1 Plug in Q%28x%29=%28x%2B1%29%2F%28x-1%29.


W%28x%29+=+%28x%2B1%29%2F%28x-1%29-%28x-1%29%2F%28x-1%29 Multiply 1 by %28x-1%29%2F%28x-1%29


W%28x%29+=+%28x%2B1-%28x-1%29%29%2F%28x-1%29 Combine the fractions.


W%28x%29+=+%28x%2B1-x%2B1%29%2F%28x-1%29 Distribute


W%28x%29+=+%282%29%2F%28x-1%29 Combine like terms


So the answer is C) W%28x%29+=+%282%29%2F%28x-1%29