MODULE
FIVE
PROBLEM
SET
1
P
ROBLEM
1
Indicate
whether
the
two
functions
are
equal.
If
the
two
functions
are
not
equal,
then give an element of the domain which the two functions have on
different values.
(a)
f
:
Z
→
Z
,
where
f
( )x
=
x
2
.
g
:
Z
→
Z
,
where
g(x)
=
|
x
|
2
.
(b)
•
Both
functions
are
a
positive
value.x
2
is
positive
and
x
|
2
|
can
never
be
negative.
f
:
Z
×
Z
→
Z
,
where
f
(x,
y)
=
|
x
+
y
|
.
g : Z Z × → Z, where g(x, y) =
| | | |x + y .
•
These
two
functions
are
not
