Continuity of Composite Function (Jee Mains) | ExamDuo
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Continuity and Differentiability
Medium
Continuity of Composite Function
Let
f
:
R
→
R
and
g
:
R
→
R
be defined as
f
(
x
)
=
{
x
+
a
x
<
0
|
x
−
1
|
x
≥
0
and
g
(
x
)
=
{
x
+
1
x
<
0
(
x
−
1
)
2
+
b
x
≥
0.
where
a
,
b
are non-negative real numbers. If
(
g
∘
f
)
(
x
)
is continuous for all
x
∈
R
, then
a
+
b
is equal to.........
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