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Byju's Answer
Standard XII
Mathematics
Strictly Increasing Functions
If fx= 3x+1...
Question
If
f
(
x
)
=
⎧
⎨
⎩
3
x
+
1
,
0
≤
x
≤
2
1
+
9
x
,
2
<
x
<
3
30
+
2
x
,
x
≥
3
find
f
(
4
)
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Solution
We have to find
f
(
4
)
, for this we use function
30
+
2
x
because it is defined for all value of
x
which is greater than
3
Put
x
=
4
in function
30
+
2
x
f
(
4
)
=
30
+
2
(
4
)
f
(
4
)
=
30
+
8
f
(
4
)
=
38
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0
Similar questions
Q.
If
f
(
x
)
=
{
x
3
−
3
x
+
2
x
<
2
x
3
−
6
x
2
+
9
x
+
2
,
x
≥
2
then
Q.
The value of
f
(
4
)
if
f
(
x
)
=
2
1
+
x
is
Q.
If
3
x
+
1
=
9
x
−
2
,
f
i
n
d
t
h
e
v
a
l
u
e
o
f
2
1
+
x
.
Q.
Given
f
(
x
)
=
2
x
−
1
x
+
1
. Find :
f
(
4
)
−
f
(
3
)
Q.
f
is a function defined by
f
(
x
)
=
{
2
x
+
4
,
x
≤
2
2
x
−
1
,
x
>
2
Find
f
(
0
)
+
f
(
2
)
+
f
(
4
)
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