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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Given, fx =...
Question
Given,
f
(
x
)
=
sum of all natural numbers which can divide
x
completely. Find : $
f(6)$
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Solution
f
(
6
)
=
Sum of all natural numbers which can divide
6
completely,
Therefore,
f
(
6
)
=
1
+
2
+
3
+
6
=
12
So,
12
is the natural number which can divide
6
completely.
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Similar questions
Q.
Given,
f
(
x
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=
sum of all natural numbers which can divide
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completely, then find :
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sum of all natural numbers which can divide
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Q.
Let N be the set of natural numbers, Define a real valued function
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:
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→
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by
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(
x
)
=
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+
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.
Using this definition, complete the table given below.
x
1
2
3
4
5
6
7
y
f(1)=
f(2)=
f(3)=
f(4)=
f(5)=
f(6)=
f(7)=
Q.
Find the sum of all three-digit natural numbers which leave a remainder
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