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Byju's Answer
Standard XII
Mathematics
Strictly Increasing Functions
26.SHOW THAT ...
Question
26.SHOW THAT THE FUNCTION f(x)=7-2x
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Similar questions
Q.
Show that the function
f
(
x
)
=
2
x
−
|
x
|
is continuous at
x
=
0
.
Q.
Show that the function
f
(
x
)
=
2
x
+
cot
−
1
x
−
log
{
x
+
√
(
1
+
x
2
)
}
is increasing
∀
R
Q.
Show that function
f
:
R
→
R
,
f
(
x
)
=
2
x
+
5
8
is invertible. Also find inverse of f.
Q.
Let f(x) be a function defined by
f
x
=
3
x
x
+
2
x
,
x
≠
0
0
,
x
=
0
.
Show that
lim
x
→
0
f
x
does not exist.
Q.
Show that the function f : R − {3} → R − {2} given by
f
x
=
x
-
2
x
-
3
is a bijection.
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