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Mathematics
Problem
Explain why the function
q
(
x
)
=
x
2
−
1
x
−
1
q(x)=\dfrac{x^{2}-1}{x-1}
q
(
x
)
=
x
−
1
x
2
−
1
, defined for all real
x
≠
1
x\neq1
x
=
1
, does not attain the value
2
2
2
even though
q
(
x
)
q(x)
q
(
x
)
simplifies to
x
+
1
x+1
x
+
1
. State the range of
q
q
q
.
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