Byju's Answer
Standard X
Chemistry
Based on the Type of Solvent
f(x)=3x+sinx....
Question
f(x)=3x+sinx. Check bijectivity
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Similar questions
Q.
Assertion :
f
:
R
→
R
is a function defined by
f
(
x
)
=
5
x
−
8
3
then
f
−
1
(
x
)
=
3
x
+
8
5
Reason:
f
(
x
)
is not a bijection.
Q.
Let
f
,
g
,
h
be three bijections. If
f
(
x
)
=
x
3
+
3
x
+
1
,
g
(
f
(
x
)
)
=
x
and
h
(
g
(
g
(
x
)
)
)
=
x
,
then the value of
h
(
0
)
is
Q.
Check which function is bijective from
Z
→
Z
:
(A)
f
(
x
)
=
x
3
(B)
f
(
x
)
=
2
x
+
1
Q.
Assertion :Let f(x) is a bijective function. Then
f
(
x
)
=
f
−
1
(
x
)
⇒
f
−
1
(
x
)
=
x
Reason:
f
−
1
(
x
)
=
x
⇒
f
(
x
)
=
f
−
1
(
x
)
.
Q.
Let
f
:
R
→
R
be defined as f(x) = mx + p sinx
(
m
≠
0
,
p
>
0
)
. Then which statement(s) is/are true?
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