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Mathematics
Mathematics
Problem
Consider the function
g
(
x
)
=
3
x
x
2
+
2
(
k
−
1
)
x
+
k
2
−
1
.
g(x)=\frac{3x}{x^2+2(k-1)x+k^2-1}.
g
(
x
)
=
x
2
+
2
(
k
−
1
)
x
+
k
2
−
1
3
x
.
Determine the value of
k
k
k
for which
g
(
x
)
g(x)
g
(
x
)
is undefined at exactly one real value of
x
x
x
.
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