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Mathematics
Problem
For the function
f
:
R
∖
{
−
1
2
}
→
R
f:\mathbb R\setminus\{-\tfrac12\}\to\mathbb R
f
:
R
∖
{
−
2
1
}
→
R
defined by
f
(
x
)
=
k
x
−
3
2
x
+
1
f(x)=\dfrac{kx-3}{2x+1}
f
(
x
)
=
2
x
+
1
k
x
−
3
, determine all real values of
k
k
k
for which
f
f
f
is invertible.
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