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Mathematics
Mathematics
Problem
Show that the function
f
:
N
→
N
f: \mathbb{N} \to \mathbb{N}
f
:
N
→
N
, given by
f
(
1
)
=
f
(
2
)
=
1
f(1) = f(2) = 1
f
(
1
)
=
f
(
2
)
=
1
and
f
(
x
)
=
x
−
1
f(x) = x - 1
f
(
x
)
=
x
−
1
, for every
x
>
2
x > 2
x
>
2
, is onto but not one-one.
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