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Mathematics
Mathematics
Problem
The function
h
:
R
→
R
h:\mathbb{R}\to\mathbb{R}
h
:
R
→
R
is defined by
h
(
x
)
=
{
x
+
3
,
−
2
≤
x
≤
0
,
x
2
,
0
<
x
≤
3.
\displaystyle h(x)=\begin{cases}x+3,&-2\le x\le 0,\\x^{2},&0<x\le 3.\end{cases}
h
(
x
)
=
{
x
+
3
,
x
2
,
−
2
≤
x
≤
0
,
0
<
x
≤
3.
\nFind: a. all real numbers
x
x
x
such that
h
(
x
)
=
3
h(x)=3
h
(
x
)
=
3
b. whether
4
4
4
has a preimage under
h
h
h
, and if so, list all such
x
x
x
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