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Mathematics
Mathematics
Problem
For a real parameter
a
a
a
, define
f
:
R
∖
{
−
2
}
→
R
f: \mathbb R\setminus\{-2\}\;\to\;\mathbb R
f
:
R
∖
{
−
2
}
→
R
by
f
(
x
)
=
a
x
+
1
x
+
2
.
f(x)=\frac{ax+1}{x+2}.
f
(
x
)
=
x
+
2
a
x
+
1
.
Find all real values of
a
a
a
for which
f
f
f
is one–one on its domain.
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