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Standard XII
Mathematics
Pre-Image
Question
f
(
x
)
=
y
=
a
x
−
b
c
x
−
a
then prove that
f
(
y
)
=
x
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Solution
Verified by Toppr
f
(
x
)
=
y
=
a
x
−
b
c
x
−
a
Express
x
in terms of
y
y
(
c
x
−
a
)
=
a
x
−
b
c
x
y
−
a
y
=
a
x
−
b
c
x
y
−
a
x
=
a
y
−
b
x
(
c
y
−
a
)
=
a
y
−
b
x
=
a
y
−
b
c
y
−
a
=
f
(
y
)
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