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CAT 2022 Slot 3 Paper
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© examsnet.com
Question : 59
Total: 66
Let
r
be a real number and
f
(
x
)
=
2
x
−
r
r
if ${x≥ṛ}/{x
x
>
r
x
≤
r
x
≠
r
x
≥
r
Validate
Solution:
When
x
<
r
f
(
x
)
=
r
f
(
x
)
=
f
(
f
(
x
)
)
r
=
f
(
r
)
r
=
2
r
−
r
r
=
r
When
x
>
=
r
f
(
x
)
=
2
x
−
r
f
(
x
)
=
f
(
f
(
x
)
)
2
x
−
r
=
f
(
2
x
−
r
)
2
x
−
r
=
2
(
2
x
−
r
)
−
r
2
x
−
r
=
4
x
−
3
r
or,
x
=
r
Therefore
x
<
=
r
© examsnet.com
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