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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
k
2
x
+
3
,
x
<
2
5
x
−
k
,
x
≥
2.
f(x)=\begin{cases}k^{2}x+3,& x<2\\5x-k,& x\ge 2.\end{cases}
f
(
x
)
=
{
k
2
x
+
3
,
5
x
−
k
,
x
<
2
x
≥
2.
Find the value(s) of
k
k
k
for which
f
f
f
is continuous at
x
=
2
x=2
x
=
2
.
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