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TS EAMCET 19-July-2022 Shift 1 Solved Paper
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© examsnet.com
Question : 2
Total: 160
Let
f
(
x
)
=
1
−
x
,
g
(
x
)
=
1
1
−
x
,
h
(
x
)
=
1
x
be three functions, for
x
≠
0
, 1. If a function
F
(
x
)
satisfies
f
(
F
(
h
(
x
)
)
)
=
g
(
x
)
, then
F
(
2022
)
=
f
(
2022
)
F
(
2022
)
=
g
(
2022
)
F
(
2022
)
=
h
(
2022
)
F
(
2022
)
=
1
2022
f
(
2022
)
Validate
Solution:
👈: Video Solution
Given,
f
(
x
)
=
1
−
x
,
g
(
x
)
=
1
1
−
x
,
h
(
x
)
=
1
x
f
(
F
(
h
(
x
)
)
)
=
g
(
x
)
⇒
f
(
F
(
1
x
)
)
=
1
1
−
x
⇒
1
−
F
(
1
x
)
=
1
1
−
x
⇒
F
(
1
x
)
=
1
−
1
1
−
x
⇒
F
(
1
x
)
=
−
x
1
−
x
Substitute
x
=
1
2022
to determine
F
(
2022
)
F
(
2022
)
=
−
1
2022
1
−
1
2022
=
−
1
2021
=
1
1
−
2022
=
g
(
2022
)
© examsnet.com
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