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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
−
1
,
x
<
2
k
x
+
3
,
x
≥
2
f(x)=\begin{cases}x^{2}-1,&x<2\\kx+3,&x\ge 2\end{cases}
f
(
x
)
=
{
x
2
−
1
,
k
x
+
3
,
x
<
2
x
≥
2
. If
f
f
f
is continuous at
x
=
2
x=2
x
=
2
, then
k
k
k
equals a)
1
2
\dfrac12
2
1
b)
0
0
0
c)
4
4
4
d)
1
1
1
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