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Byju's Answer
Standard XII
Physics
Multiplication with Vectors
If f:[1,∞ →...
Question
If
f
:
[
1
,
∞
)
→
[
2
,
∞
)
is given by
f
(
x
)
=
x
+
1
x
,
then
f
−
1
(
x
)
equals
A
x
+
√
x
2
−
4
2
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B
x
1
+
x
2
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C
x
−
√
x
2
−
4
2
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D
1
+
√
x
2
−
4
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Solution
The correct option is
A
x
+
√
x
2
−
4
2
Let
y
=
x
+
1
x
⇒
x
2
−
x
y
+
1
=
0
⇒
x
=
y
±
√
y
2
−
4
2
∵
x
∈
(
2
,
∞
)
∴
x
=
y
+
√
y
2
−
4
2
Hence,
f
−
1
(
x
)
=
x
+
√
x
2
−
4
2
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0
Similar questions
Q.
If f:
[
1
,
∞
)
→
[
2
,
∞
)
is given by
f
(
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=
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, then
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Q.
If
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→
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2
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If
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A function
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=
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)
hold right.
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