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UPSEE 2017 Solved Paper
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© examsnet.com
Question : 124
Total: 150
The inverse of the function
y
=
2
x
1
+
2
x
is
x
=
log
2
1
1
−
2
y
x
=
log
2
(
1
−
1
y
)
x
=
log
2
(
1
1
−
y
)
x
=
log
2
y
1
−
y
Validate
Solution:
Given,
y
=
2
x
1
+
2
x
⇒
y
+
2
x
y
=
2
x
⇒
y
=
2
x
(
1
−
y
)
⇒
2
x
=
y
1
−
y
Taking log both side at base 2, we get
log
2
(
2
x
)
=
log
2
y
1
−
y
⇒
x
=
log
2
y
1
−
y
∴
Inverse
=
log
2
y
1
−
y
© examsnet.com
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