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AP EAPCET 20-Aug-2021 Shift 1 Paper
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© examsnet.com
Question : 3
Total: 160
Let
f
(
x
)
=
x
3
and
g
(
x
)
=
3
x
, then the quadratic equation whose roots are solutions of the equation
(
f
o
g
)
(
x
)
=
(
g
o
f
)
(
x
)
(
for
x
≠
0
)
is
x
2
−
6
x
+
3
=
0
x
2
−
6
x
+
9
=
0
x
2
−
x
+
3
=
0
x
2
−
3
=
0
Validate
Solution:
f
(
x
)
=
x
3
and
g
(
x
)
=
3
x
⇒
f
[
g
(
x
)
]
=
g
[
f
(
x
)
]
⇒
(
3
x
)
3
=
3
x
3
⇒
3
3
x
=
3
x
3
⇒
3
x
=
x
3
⇒
x
(
x
2
−
3
)
=
0
As,
x
≠
0
, So
x
2
−
3
=
0
© examsnet.com
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