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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
3
x
+
k
,
x
<
1
5
x
−
2
,
x
≥
1
f(x)=\begin{cases}3x+k,& x<1\\5x-2,& x\ge 1\end{cases}
f
(
x
)
=
{
3
x
+
k
,
5
x
−
2
,
x
<
1
x
≥
1
. Find the value of
k
k
k
so that
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
1
x=1
x
=
1
.
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