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IPMAT Indore 2019
Numeric Answer
＋
!
A real-valued function
f
f
f
satisfies the relation
f
(
x
)
f
(
y
)
=
f
(
2
x
y
+
3
)
+
3
f
(
x
+
y
)
−
3
f
(
y
)
+
6
y
f(x)f(y) = f(2xy + 3) + 3f(x + y) - 3f(y) + 6y
f
(
x
)
f
(
y
)
=
f
(
2
x
y
+
3
)
+
3
f
(
x
+
y
)
−
3
f
(
y
)
+
6
y
, for all real numbers
x
x
x
and
y
y
y
, then the value of
f
(
8
)
f(8)
f
(
8
)
is
Check Answer