OUT
Let f(x)=
,x-1. Then, for what value of
x +1
is ff(x)] = x?
Answers
Answered by
1
Answer:
-1 is the write answer
Step-by-step explanation:
f{f(x)}=x for all x
=−1
⇒f(
x+1
αx
)=x for all x
=−1
⇒
(
x+1
αx
)+1
α(
x+1
αx
)
=x for all x
=−1
⇒
αx+x+1
α
2
x
=x for all x
=−1
⇒(α+1)x
2
+(1−α
2
)x=0
⇒α+1=0;1−α
2
=0
∴α=−1
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