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Byju's Answer
Standard XII
Mathematics
Differentiability
The values of...
Question
The values of x for which the function
f(x) =
x
2
−
3
x
−
4
x
2
+
3
x
−
4
is NOT continuous are
A
4 and -1
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B
4 and 1
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C
-4 and 1
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D
-4 and -1
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Solution
The correct option is
C
-4 and 1
For discontinuity, the denominator shold be zero.
x
2
+
3
x
−
4
=
0
(
x
+
4
)
(
x
−
1
)
=
0
⇒
x
=
−
4
a
n
d
x
=
1
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0
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