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Find the domain of the function .
MATHEMATICS · Single correct · GCSE · Mathematics · Number · Number
Problem
Find the domain of the function
h
(
x
)
=
5
x
−
1
x
2
−
9
h(x)=\dfrac{\sqrt{5x-1}}{x^{2}-9}
h
(
x
)
=
x
2
−
9
5
x
−
1
. (a)
(
1
5
,
∞
)
\left(\dfrac15,\infty\right)
(
5
1
,
∞
)
(b)
[
0
,
∞
)
\
{
3
}
\left[0,\infty\right)\,\backslash\{3\}
[
0
,
∞
)
\
{
3
}
(c)
[
1
5
,
∞
)
\
{
3
}
\left[\dfrac15,\,\infty\right)\,\backslash\{3\}
[
5
1
,
∞
)
\
{
3
}
(d)
[
1
5
,
∞
)
\left[\dfrac15,\infty\right)
[
5
1
,
∞
)
Related theory
Types of Functions
Functions
Real Number System
Special Functions
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