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Mathematics
Mathematics
Problem
The expression
g
(
x
)
=
x
2
−
1
x
−
1
g(x)=\dfrac{x^{2}-1}{x-1}
g
(
x
)
=
x
−
1
x
2
−
1
simplifies to
x
+
1
x+1
x
+
1
for
x
≠
1
x\neq1
x
=
1
. Is
g
(
x
)
g(x)
g
(
x
)
regarded as a polynomial function on its domain? Explain briefly.
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