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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
1
+
x
−
[
x
]
g(x) = 1 + x - [x]
g
(
x
)
=
1
+
x
−
[
x
]
and
f
(
x
)
=
{
−
1
,
x
<
0
,
0
,
x
=
0
,
1
,
x
>
0.
f(x) = \begin{cases} -1, & x < 0, \\ 0, & x = 0, \\ 1, & x > 0. \end{cases}
f
(
x
)
=
⎩
⎨
⎧
−
1
,
0
,
1
,
x
<
0
,
x
=
0
,
x
>
0.
for all
x
x
x
. Find
f
[
g
(
x
)
]
f[g(x)]
f
[
g
(
x
)]
. a.
x
x
x
b. 1 c.
f
(
x
)
f(x)
f
(
x
)
d.
g
(
x
)
g(x)
g
(
x
)
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