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Byju's Answer
Standard XII
Chemistry
Solubility Product
Which of the ...
Question
Which of the functions defined below are NOT one-one function(s)
A
f
(
x
)
=
5
(
x
2
+
4
)
,
(
x
∈
R
)
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B
g
(
x
)
=
2
x
+
1
x
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C
h
(
x
)
=
l
n
(
x
2
+
x
+
1
)
,
(
x
∈
R
)
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D
f
(
x
)
=
e
−
x
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Solution
The correct options are
A
f
(
x
)
=
5
(
x
2
+
4
)
,
(
x
∈
R
)
B
g
(
x
)
=
2
x
+
1
x
C
h
(
x
)
=
l
n
(
x
2
+
x
+
1
)
,
(
x
∈
R
)
Suggest Corrections
0
Similar questions
Q.
If functions
f
(
x
)
and
g
(
x
)
are defined on
R
→
R
such that
f
(
x
)
=
x
+
3
,
x
∈
rational
=
4
x
,
x
∈
irrational
g
(
x
)
=
x
+
√
5
, x
∈
irrational
=
−
x
,
x
∈
rational
then
(
f
−
g
)
(
x
)
is
Q.
Which of the following functions are not identical?
1.
f
(
x
)
=
x
/
x
,
g
(
x
)
=
1
2.
f
(
x
)
=
1
,
g
(
x
)
=
sin
2
x
+
cos
2
x
3.
f
(
x
)
=
x
,
g
(
x
)
=
(
√
x
)
2
4.
f
(
x
)
=
log
(
x
−
2
)
+
log
(
x
−
3
)
,
g
(
x
)
=
log
(
x
−
2
)
(
x
−
3
)
Q.
Show that the function
f
:
R
→
R
defined by
f
(
x
)
=
x
x
2
+
1
,
∀
x
∈
R
is neither one-one nor onto. Also, if
g
:
R
→
R
is defined as
g
(
x
)
=
2
x
−
1
, find
f
o
g
(
x
)
.
Q.
Let two functions are defined as
g
(
x
)
=
{
x
2
,
−
1
≤
x
≤
2
x
+
2
,
2
≤
x
≤
3
,
and
f
(
x
)
=
{
x
+
1
x
≤
1
2
x
+
1
1
<
x
≤
2
,
then find
g
o
f
(1)
Q.
The function f : R
→
R
defined by f(x) =(x - 1)(x - 2)(x - 3)
is
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