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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
{
a
x
+
b
,
x
<
1
,
4
,
x
=
1
,
2
x
2
−
a
,
x
>
1.
h(x)=\begin{cases} ax+b,& x<1,\\ 4,& x=1,\\ 2x^{2}-a,& x>1. \end{cases}
h
(
x
)
=
⎩
⎨
⎧
a
x
+
b
,
4
,
2
x
2
−
a
,
x
<
1
,
x
=
1
,
x
>
1.
Find the values of
a
a
a
and
b
b
b
so that
h
h
h
is continuous at
x
=
1
x=1
x
=
1
.
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