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Byju's Answer
Standard XII
Mathematics
Factorization Method Form to Remove Indeterminate Form
If fx=x2+2x...
Question
If
f
(
x
)
=
x
2
+
2
x
+
2
;
x
≥
−
1
=
−
x
2
+
3
x
+
1
;
x
<
−
1
, then the value of
f
(
f
(
−
2
)
)
is
A
15
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B
17
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C
22
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D
N
o
n
e
o
f
t
h
e
s
e
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Solution
The correct option is
D
N
o
n
e
o
f
t
h
e
s
e
f
(
x
)
=
{
x
2
+
2
x
+
2
;
x
⩾
−
1
−
x
2
+
3
x
+
1
;
x
<
−
1
f
(
−
2
)
=
−
x
2
+
3
x
+
1
=
−
(
−
2
)
2
+
3
(
−
2
)
+
1
=
−
4
−
6
+
1
=
−
9
f
(
f
(
−
2
)
)
=
f
(
−
9
)
=
−
(
−
9
)
2
+
3
(
−
9
)
+
1
=
−
81
−
27
+
1
=
−
107
(D) is the correct option.
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Similar questions
Q.
If
f
(
x
)
=
x
2
+
2
x
+
2
;
x
≥
−
1
=
−
x
3
+
3
x
+
1
;
x
<
−
1
,
then the value of
f
(
f
(
−
2
)
)
is :
Q.
Find the square root of
√
2
x
+
√
−
x
4
−
1
Q.
If
2
x
x
2
−
2
x
+
1
=
1
2
, then find the value of
(
x
−
1
x
)
2
.
Q.
Assertion :If
f
(
x
)
=
cos
−
1
(
2
x
1
+
x
2
)
, then
f
(
x
)
is differentiable everywhere Reason: For
f
(
x
)
=
cos
−
1
(
2
x
1
+
x
2
)
,
f
′
(
x
)
=
⎧
⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪
⎩
−
2
1
+
x
2
,
|
x
|
<
1
2
1
+
x
2
,
|
x
|
>
1
Q.
If
g
x
=
x
2
+
x
-
2
and
1
2
g
o
f
x
=
2
x
2
-
5
x
+
2
, then f(x) is equal to
(a)
2
x
-
3
(b)
2
x
+
3
(c)
2
x
2
+
3
x
+
1
(d) 2
x
2
-
3
x
-
1
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