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Mathematics
Mathematics
Problem
Which equation must be satisfied by
k
k
k
so that the function
f
(
x
)
=
{
4
x
−
3
,
x
<
2
k
x
+
1
,
x
≥
2
f(x)= \begin{cases} 4x-3, & x<2\\ kx+1, & x\ge 2 \end{cases}
f
(
x
)
=
{
4
x
−
3
,
k
x
+
1
,
x
<
2
x
≥
2
is continuous at
x
=
2
x=2
x
=
2
? a)
5
=
k
+
1
5=k+1
5
=
k
+
1
b)
k
=
4
k=4
k
=
4
c)
5
=
2
k
+
1
5=2k+1
5
=
2
k
+
1
d)
2
k
=
5
2k=5
2
k
=
5
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