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Mathematics
Mathematics
Problem
Consider the function
h
(
x
)
=
x
+
2
x
2
−
4
−
3
x
2
x
−
1
x
−
3
.
h(x)=\frac{\dfrac{x+2}{x^{2}-4}-\dfrac{3}{x}}{\dfrac{2x-1}{x-3}}.
h
(
x
)
=
x
−
3
2
x
−
1
x
2
−
4
x
+
2
−
x
3
.
Which of the following is the domain of
h
h
h
? a)
R
∖
{
−
2
,
0
,
2
,
3
}
\mathbb R\setminus\{-2,0,2,3\}
R
∖
{
−
2
,
0
,
2
,
3
}
b)
R
∖
{
−
2
,
0
,
1
2
,
2
}
\mathbb R\setminus\{-2,0,\tfrac12,2\}
R
∖
{
−
2
,
0
,
2
1
,
2
}
c)
R
∖
{
−
2
,
0
,
1
2
,
2
,
3
}
\mathbb R\setminus\{-2,0,\tfrac12,2,3\}
R
∖
{
−
2
,
0
,
2
1
,
2
,
3
}
d)
R
∖
{
0
,
1
2
,
3
}
\mathbb R\setminus\{0,\tfrac12,3\}
R
∖
{
0
,
2
1
,
3
}
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