Piecewise Function Continuity and Derivative (J… | ExamDuo
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Chain Rule and Composite Functions
Hard
Piecewise Function Continuity and Derivative
Let
g
(
x
)
be a linear function and
f
(
x
)
=
{
g
(
x
)
,
x
≤
0
(
1
+
x
2
+
x
)
1
x
,
x
>
0
.
, is continuous at
x
=
0
. If
f
′
(
1
)
=
f
(
−
1
)
, then the value of
g
(
3
)
is
Ask about this question
SELECT ONE OPTION
A
1
3
log
e
(
4
9
e
1
∕
3
)
B
1
3
log
e
(
4
9
)
+
1
C
log
e
(
4
9
)
−
1
D
log
e
(
4
9
e
1
∕
3
)
Check