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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
4
x
+
3
,
x
<
3
x
−
4
,
x
≥
3
f(x) = \begin{cases} x^2 - 4x + 3, & x < 3 \\ x - 4, & x \ge 3 \end{cases}
f
(
x
)
=
{
x
2
−
4
x
+
3
,
x
−
4
,
x
<
3
x
≥
3
and
g
(
x
)
=
{
x
−
3
,
x
<
4
x
2
+
2
x
+
2
,
x
≥
4
g(x) = \begin{cases} x - 3, & x < 4 \\ x^2 + 2x + 2, & x \ge 4 \end{cases}
g
(
x
)
=
{
x
−
3
,
x
2
+
2
x
+
2
,
x
<
4
x
≥
4
, which one of the following is/are true? a.
(
f
+
g
)
(
3.5
)
=
0
(f+g)(3.5) = 0
(
f
+
g
)
(
3.5
)
=
0
b.
f
(
g
(
3
)
)
=
3
f(g(3)) = 3
f
(
g
(
3
))
=
3
c.
f
(
g
(
2
)
)
=
1
f(g(2)) = 1
f
(
g
(
2
))
=
1
d.
(
f
−
g
)
(
4
)
=
0
(f-g)(4) = 0
(
f
−
g
)
(
4
)
=
0
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