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Mathematics
Mathematics
Problem
For which real value(s) of
k
k
k
is the function
f
(
x
)
=
x
−
1
x
2
−
(
k
+
3
)
x
+
2
k
f(x)=\dfrac{x-1}{x^{2}-(k+3)x+2k}
f
(
x
)
=
x
2
−
(
k
+
3
)
x
+
2
k
x
−
1
defined for every real
x
x
x
? a)
k
=
1
k=1
k
=
1
b)
k
>
2
k>2
k
>
2
c) No real value of
k
k
k
d) All real
k
k
k
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