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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
2
x
−
1
x
2
+
(
k
−
2
)
x
+
k
.
f(x)=\frac{2x-1}{x^2+(k-2)x+k}.
f
(
x
)
=
x
2
+
(
k
−
2
)
x
+
k
2
x
−
1
.
Find all real values of
k
k
k
for which
f
(
x
)
f(x)
f
(
x
)
is defined for every real
x
x
x
.
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