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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Domain of f...
Question
Domain of
f
(
x
)
=
x
2
+
3
x
+
5
x
2
−
5
x
+
4
is
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Solution
To find domain.
equate denominator
x
2
−
5
x
+
4
to zero. and find the value of x.
x
2
−
5
x
+
4
=
0
x
2
−
4
x
−
x
+
4
=
0
x
(
x
−
4
)
−
1
(
x
−
4
)
=
0
(
x
−
1
)
(
x
−
4
)
=
0
x
=
1
,
4
This means that, when
x
=
1 or 4
, we have the
x
2
−
5
x
+
4
Implying that
f
(
x
)
=
x
2
+
3
x
+
5
0
which is undifined .
so , Domain of function =
R
−
{1,4}.
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