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Mathematics
Problem
Consider the function
f
a
:
R
∖
{
−
1
}
→
R
f_a:\mathbb R\setminus\{-1\}\to \mathbb R
f
a
:
R
∖
{
−
1
}
→
R
defined by
f
a
(
x
)
=
x
−
a
x
+
1
f_a(x)=\dfrac{x-a}{x+1}
f
a
(
x
)
=
x
+
1
x
−
a
, where
a
∈
R
a\in\mathbb R
a
∈
R
. For which value(s) of
a
a
a
is
f
a
f_a
f
a
not invertible? a)
a
=
0
a=0
a
=
0
b)
a
=
−
1
a=-1
a
=
−
1
c)
a
=
1
a=1
a
=
1
d) Every real
a
a
a
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