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Standard VIII
Mathematics
Algebraic Identity: (a + b)^2 = a^2 + b^2 + 2ab
40. f:R–>R be...
Question
40. f:R-->R be defined as f(x)=x+sinx+7, then check whether f(x) is one-one or many-one?
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Similar questions
Q.
Check whether
f
:
R
→
R
be a function defined by
f
(
x
)
=
x
2
+
2
x
+
5
x
2
+
x
+
1
is one-one or not.
Q.
Let a function
f
:
R
→
R
be defined as
f
(
x
)
=
x
2
−
x
2
1
+
x
2
for all
x
∈
R
. Then state whether
f
is one-one or onto ?
Q.
Let the function
f
:
R
→
R
be defined by
f
(
x
)
=
2
x
+
s
i
n
x
. Then f is
Q.
Write whether f : R → R, given by
f
x
=
x
+
x
2
, is one-one, many-one, onto or into.
Q.
Assertion :Let
f
:
R
→
R
be a function defined by
f
(
x
)
=
x
3
+
x
2
+
3
x
+
sin
x
, then
f
is one one. Reason:
f
(
x
)
is decreasing function.
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