1.

If f(x)=x+1/x-1 then find f{f(x)}​

Answer»

ong>Answer:

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Step-by-step explanation:

f(X)=

x−1

x+1

f(f(x))=

f(x)−1

f(x)+1

=

(

x−1

x+1

)−1

(

x−1

x+1

)+1

=

x−1

x+1−x+1

x−1

x+1+x−1

=

x−1

2

x−1

2x

=

2

2x

=x

Now, f(f(x))=x, which is an identity function.


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