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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
4
,
x
<
2
,
k
x
+
1
,
x
≥
2
f(x)= \begin{cases} x^{2}-4,& x<2,\\ kx+1,& x\ge 2 \end{cases}
f
(
x
)
=
{
x
2
−
4
,
k
x
+
1
,
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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