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Determine the domain of the function .
MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra
Problem
Determine the domain of the function
f
(
x
)
=
x
+
4
2
−
x
f(x)=\sqrt{\dfrac{x+4}{2-x}}
f
(
x
)
=
2
−
x
x
+
4
. (a)
(
−
4
,
2
)
(-4,2)
(
−
4
,
2
)
(b)
[
−
4
,
2
)
[-4,2)
[
−
4
,
2
)
(c)
[
−
4
,
∞
)
[-4,\infty)
[
−
4
,
∞
)
(d)
(
−
∞
,
−
4
]
∪
(
2
,
∞
)
(-\infty,-4]\cup(2,\infty)
(
−
∞
,
−
4
]
∪
(
2
,
∞
)
Related theory
Real Number System
Linear Inequalities
Special Functions
Inequalities
Algebra
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