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Mathematics
Problem
Let
f
:
R
∖
{
1
}
→
R
f:\mathbb{R}\setminus\{1\}\to\mathbb{R}
f
:
R
∖
{
1
}
→
R
be defined by
f
(
x
)
=
x
2
−
1
x
−
1
f(x)=\dfrac{x^{2}-1}{x-1}
f
(
x
)
=
x
−
1
x
2
−
1
. Which of the following is the range of
f
f
f
? a)
R
\mathbb{R}
R
b)
R
∖
{
0
}
\mathbb{R}\setminus\{0\}
R
∖
{
0
}
c)
R
∖
{
2
}
\mathbb{R}\setminus\{2\}
R
∖
{
2
}
d)
(
−
∞
,
2
)
(-\infty,2)
(
−
∞
,
2
)
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