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Mathematics
Problem
Identify the correct equation that the parameter
k
k
k
must satisfy for the function
f
(
x
)
=
{
k
x
+
1
,
x
<
2
,
k
+
5
,
x
≥
2
f(x)= \begin{cases} kx+1, & x<2,\\ k+5, & x\ge 2 \end{cases}
f
(
x
)
=
{
k
x
+
1
,
k
+
5
,
x
<
2
,
x
≥
2
to be continuous at
x
=
2
x=2
x
=
2
. a)
(
2
k
+
1
)
=
5
(2k+1)=5
(
2
k
+
1
)
=
5
b)
(
2
k
+
1
)
=
(
k
+
5
)
(2k+1)=(k+5)
(
2
k
+
1
)
=
(
k
+
5
)
c)
(
2
k
)
=
(
k
+
5
)
(2k)=(k+5)
(
2
k
)
=
(
k
+
5
)
d)
(
2
k
+
1
)
=
5
k
(2k+1)=5k
(
2
k
+
1
)
=
5
k
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