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Let fx=x4+y4-...
Question
Let
f
(
x
)
=
x
4
+
y
4
−
x
3
y
2
−
x
2
y
3
+
16
x
y
. If x+y=2, what is the value of f(x)?
A
10
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B
8
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C
16
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D
12
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Solution
The correct option is
A
16
Option (c) is the correct answer. Check the video for the approach.
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Similar questions
Q.
Let
f
(
x
)
=
(
x
12
−
x
9
+
x
4
−
x
+
1
)
−
1
/
2
. Then domain of function
f
(
x
)
is
Q.
Let
f
:
[
−
1
,
1
]
→
R
,
where
f
(
x
)
=
2
x
3
−
x
4
−
10.
The minimum value of
f
(
x
)
is
Q.
Find the value of
f
(
x
)
=
x
4
+
3
x
3
+
2
x
2
+
1
if
x
=
2
.
Q.
Let
f
(
x
,
y
)
=
x
y
2
if
x
and
y
satisfy
x
2
+
y
2
=
9
then the minimum value of
f
(
x
,
y
)
is
Q.
Let
f
(
x
)
=
⎧
⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪
⎩
x
4
−
5
x
2
+
4
(
x
−
1
)
(
x
−
2
)
,
x
≠
1
,
2
6
,
x
=
1
12
,
x
=
2
then
f
(
x
)
is continuous on the set
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