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Byju's Answer
Standard XII
Mathematics
Modulus Function
Given, fx =...
Question
Given,
f
(
x
)
=
1
−
2
x
; find the value of
14
+
x
, if
f
(
x
)
is
15
.
Open in App
Solution
Given,
f
(
x
)
=
1
−
2
x
Also
f
(
x
)
=
15
Therefore,
1
−
2
x
=
15
⇒
1
−
15
=
2
x
⇒
−
14
=
2
x
⇒
x
=
−
7
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0
Similar questions
Q.
Find the value of
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Q.
Given that
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In each of the following, find the value of the constant k so that the given function is continuous at the indicated point;
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2
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Q.
If
f
(
x
)
=
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2
−
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x
+
4
then the set of values of
x
satisfying
f
(
x
−
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)
=
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+
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)
is
Q.
In each of the following, find the value of the constant
k
so that the given function is continuous at the indicated point;
(i)
f
x
=
1
-
cos
2
k
x
x
2
,
if
x
≠
0
8
,
if
x
=
0
at
x
= 0
(ii)
f
x
=
(
x
-
1
)
tan
π
x
2
,
if
x
≠
1
k
,
if
x
=
1
at
x
= 1
(iii)
f
x
=
k
(
x
2
-
2
x
)
,
if
x
<
0
cos
x
,
if
x
≥
0
at
x
= 0
(iv)
f
x
=
k
x
+
1
,
if
x
≤
π
cos
x
,
if
x
>
π
at
x
= π
(v)
f
x
=
k
x
+
1
,
if
x
≤
5
3
x
-
5
,
if
x
>
5
at
x
= 5
(vi)
f
x
=
x
2
-
25
x
-
5
,
x
≠
5
k
,
x
=
5
at
x
= 5
(vii)
f
x
=
k
x
2
,
x
≥
1
4
,
x
<
1
at
x
= 1
(viii)
f
x
=
k
(
x
2
+
2
)
,
if
x
≤
0
3
x
+
1
,
if
x
>
0
(ix)
f
x
=
x
3
+
x
2
-
16
x
+
20
x
-
2
2
,
x
≠
2
k
,
x
=
2
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