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Let f(a)=(a-1)/(a+1) Consider the foll...

Let `f(a)=(a-1)/(a+1)`
Consider the following :
1. `f(2a)=f(a)+1`
2. `f((1)/(a))=-f(a)`
Which of the above is /are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
B
`f(a)=(a-1)/(a+1)`
`f(2a)=(2a-1)/(2a+1)`
`f(a)+1=(a-1)/(a+1)+1=(2a)/(a+1)`
So, `f(2a)nef(a)+1`
Now, `f((1)/(a))=((1)/(a)-1)/((1)/(a)+1)=-((a-1)/(a+1))=-f(a)`
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