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Consider the function f(x)=(x-1)/(x+1) ...

Consider the function `f(x)=(x-1)/(x+1)`
What `(f(x)+1)/(f(x)-1)` equal to ?

A

0

B

1

C

2x

D

4x

Text Solution

Verified by Experts

The correct Answer is:
A
Given `f(x)=(x-1)/(x+1)`
Applying componendo and dividendo, we get
`(f(x)+1)/(f(x)-1)=(x-1+x+1)/(x-1-x-1)`
`implies(f(x)+1)/(f(x)-1)=-x`
Now, `(f(x)+1)/(f(x)-1)+x=_(-x+x+0)`
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