SOLUTION: Let R(x)=x+1/x-1. If T(x) = R(x)+1, Then T(x)= a)2x/x+1 b)x+2/x+1 c)x+2/x-1 d)2x/x-1

Algebra ->  Equations -> SOLUTION: Let R(x)=x+1/x-1. If T(x) = R(x)+1, Then T(x)= a)2x/x+1 b)x+2/x+1 c)x+2/x-1 d)2x/x-1      Log On


   

Question 146276: Let R(x)=x+1/x-1. If T(x) = R(x)+1, Then T(x)=
a)2x/x+1
b)x+2/x+1
c)x+2/x-1
d)2x/x-1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
T%28x%29+=+R%28x%29%2B1 Start with the given equation


T%28x%29+=+%28x%2B1%29%2F%28x-1%29%2B1 Plug in R%28x%29=%28x%2B1%29%2F%28x-1%29


T%28x%29+=+%28x%2B1%29%2F%28x-1%29%2B%28x-1%29%2F%28x-1%29 Rewrite "1" as %28x-1%29%2F%28x-1%29


T%28x%29+=+%28x%2B1%2B%28x-1%29%29%2F%28x-1%29 Combine the fractions


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