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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
2
x
+
1
x
−
3
f(x)=\dfrac{2x+1}{x-3}
f
(
x
)
=
x
−
3
2
x
+
1
,
x
≠
3
x\neq3
x
=
3
. The set of all possible values of
f
(
x
)
f(x)
f
(
x
)
is a)
R
∖
{
−
1
}
\mathbb R\setminus\{-1\}
R
∖
{
−
1
}
b)
(
−
∞
,
−
1
3
]
∪
(
1
,
∞
)
(-\infty,-\tfrac13]\cup(1,\infty)
(
−
∞
,
−
3
1
]
∪
(
1
,
∞
)
c)
R
∖
{
2
}
\mathbb R\setminus\{2\}
R
∖
{
2
}
d)
R
∖
{
0
}
\mathbb R\setminus\{0\}
R
∖
{
0
}
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