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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
+
3
,
x
<
2
,
k
x
+
7
,
x
≥
2.
f(x)=\begin{cases} x^{2}+3, & x<2,\\ kx+7, & x\ge 2. \end{cases}
f
(
x
)
=
{
x
2
+
3
,
k
x
+
7
,
x
<
2
,
x
≥
2.
Determine the value of
k
k
k
that makes
f
f
f
continuous at
x
=
2
x=2
x
=
2
.
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