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Mathematics
Problem
For the function
g
(
x
)
=
2
x
+
1
x
−
4
g(x)=\dfrac{2x+1}{x-4}
g
(
x
)
=
x
−
4
2
x
+
1
, choose the correct classification together with its natural domain. a) Rational function; domain
R
∖
{
−
1
2
}
\mathbb R\setminus\{-\tfrac12\}
R
∖
{
−
2
1
}
b) Rational function; domain
R
∖
{
4
}
\mathbb R\setminus\{4\}
R
∖
{
4
}
c) Polynomial function; domain
R
\mathbb R
R
d) Rational function; domain
R
∖
{
−
1
2
,
4
}
\mathbb R\setminus\{-\tfrac12,4\}
R
∖
{
−
2
1
,
4
}
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