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Byju's Answer
Standard XII
Mathematics
Rational Function
Let x be de...
Question
Let
x
be defined by
x
=
x
+
3
x
−
1
for any
x
such that
x
≠
1
. Which of the following is equivalent to
x
−
1
?
A
x
−
2
x
−
1
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B
4
x
−
1
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C
2
x
+
4
x
−
1
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D
2
x
−
1
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E
x
+
2
x
−
2
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Solution
The correct option is
A
4
x
−
1
Given,
x
=
x
+
3
x
−
1
To find :
(
x
−
1
)
x
−
1
=
x
+
3
x
−
1
−
1
x
−
1
=
x
+
3
−
(
x
−
1
)
x
−
1
x
−
1
=
x
+
3
−
x
+
1
x
−
1
x
−
1
=
4
x
−
1
Suggest Corrections
0
Similar questions
Q.
(a) Prove that
sin
[
t
a
n
−
1
1
−
x
2
2
x
+
cos
−
1
1
−
x
2
1
+
x
2
]
=
1
.
(b) If
sin
−
1
(
x
−
x
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2
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x
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−
.
.
.
.
.
)
+
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x
4
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+
x
6
4
−
.
.
.
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.
.
.
)
=
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for
0
<
|
x
|
<
√
2
, then x equals
Q.
Show that
X
3
+
X
2
+
X
+
1
X
3
−
X
2
+
X
−
1
=
X
2
+
X
+
1
X
2
−
X
+
1
, is not possible for any
X
ϵ
R
Q.
Let
f
(
x
)
=
x
2
+
x
2
1
+
x
2
+
x
2
(
1
+
x
2
)
2
+
⋯
and
y
=
f
(
1
−
x
)
is defined for
1
≤
x
≤
2
then which of the following(s) is(are) correct
Q.
Solve the equation for
x
4
x
−
3
x
−
1
2
=
3
x
+
1
2
−
2
2
x
−
1
Q.
Solve for
x
.
1
(
x
−
1
)
(
x
−
2
)
+
1
(
x
−
2
)
(
x
−
3
)
+
1
(
x
−
3
)
(
x
−
4
)
=
1
6
.
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