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AP EAMCET Engineering 2014 Code A Solved Paper
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© examsnet.com
Question : 1
Total: 160
If R is the set of all real numbers and if
f
:
R
−
{
2
}
→
R
is defined by
f
(
x
)
=
2
+
x
2
−
x
for
x
∊
R
−
{
2
}
R
R
−
{
1
}
R
−
{
−
1
}
R
−
{
−
2
}
Validate
Solution:
f
(
x
)
=
2
+
x
2
−
x
⇒
2
f
(
x
)
−
x
f
(
x
)
=
2
+
x
⇒
2
f
(
x
)
−
2
=
x
f
(
x
)
+
x
i.e.
x
=
2
f
(
x
)
−
2
f
(
x
)
+
1
⇒
f
(
x
)
≠
−
1
Hence the range of
f
becomes
R
−
{
−
1
}
© examsnet.com
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