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Byju's Answer
Standard X
Mathematics
Quadratic Polynomial
f(x)f(y)=f(xy...
Question
f(x)f(y)=f(xy)+2(1/x+1/y+1) Find f(x)
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3
Similar questions
Q.
Let
f
:
R
+
→
R
be a function which satifies :
f
(
x
)
f
(
y
)
=
f
(
x
y
)
+
2
(
1
x
+
1
y
+
1
)
for
x
,
y
>
0
, then
f
(
x
)
can be :
Q.
If
f
(
x
)
=
cos
(
log
x
)
then
f
(
x
)
f
(
y
)
−
1
2
[
f
(
x
y
)
+
f
(
x
y
)
]
has value
Q.
If
f
(
x
)
=
cos
(
log
x
)
, then
f
(
x
)
f
(
y
)
−
1
2
[
f
(
x
y
)
+
f
(
x
y
)
]
is equal to :
Q.
If
f
(
x
)
=
cos
(
log
x
)
, then find the value of
f
(
x
)
f
(
y
)
−
1
2
[
f
(
x
y
)
+
f
(
x
y
)
]
.
Q.
Let
f
x
=
x
2
+
1
. Then, which of the following is correct?
(a)
f
x
y
=
f
x
f
y
(b)
f
x
y
≥
f
x
f
y
(c)
f
x
y
≤
f
x
f
y
(d) none of these
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