If f(x) =x +1/x-1,
then show that f(x) +f(1/x)=0
please guys I need the process...
Answers
Answered by
0
Answer:
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.
Answered by
2
Answer:
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