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Mathematics
Mathematics
Problem
For the function
p
(
x
)
=
{
k
x
2
+
1
,
x
≤
3
2
x
+
k
,
x
>
3
p(x)=\begin{cases}kx^{2}+1, & x\le 3\\2x+k, & x>3\end{cases}
p
(
x
)
=
{
k
x
2
+
1
,
2
x
+
k
,
x
≤
3
x
>
3
determine the value of
k
k
k
that makes
p
p
p
continuous at
x
=
3
x=3
x
=
3
.
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