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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
3
x
2
−
5
,
x
≤
1
k
x
+
2
,
x
>
1
.
f(x)=\begin{cases}3x^{2}-5,& x\le 1\\kx+2,& x>1\end{cases}.
f
(
x
)
=
{
3
x
2
−
5
,
k
x
+
2
,
x
≤
1
x
>
1
.
Determine the value of
k
k
k
that makes
f
f
f
continuous at
x
=
1
x=1
x
=
1
.
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