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Mathematics
Mathematics
Problem
Let
f
f
f
be defined by
f
(
x
)
=
{
k
x
+
1
,
x
<
2
,
x
2
−
k
,
x
≥
2.
f(x)=\begin{cases} kx+1, & x<2,\\ x^{2}-k, & x\ge 2. \end{cases}
f
(
x
)
=
{
k
x
+
1
,
x
2
−
k
,
x
<
2
,
x
≥
2.
Find the value of
k
k
k
that makes
f
f
f
continuous at
x
=
2
x=2
x
=
2
.
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