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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
k
x
+
2
,
x
<
3
,
x
2
−
3
k
,
x
≥
3.
f(x)= \begin{cases} kx+2,& x<3,\\ x^{2}-3k,& x\ge 3. \end{cases}
f
(
x
)
=
{
k
x
+
2
,
x
2
−
3
k
,
x
<
3
,
x
≥
3.
Determine the value of
k
k
k
that makes
f
f
f
continuous on the real line. a)
7
4
\tfrac{7}{4}
4
7
b)
2
3
\tfrac{2}{3}
3
2
c)
7
6
\tfrac{7}{6}
6
7
d)
1
1
1
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