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Mathematics
Mathematics
Problem
Determine the value of
k
k
k
that makes the function continuous at
x
=
1
x=1
x
=
1
.
f
(
x
)
=
{
k
x
2
+
1
,
x
<
1
,
4
x
−
k
,
x
≥
1.
f(x)= \begin{cases} kx^{2}+1, & x<1,\\ 4x-k, & x\ge 1. \end{cases}
f
(
x
)
=
{
k
x
2
+
1
,
4
x
−
k
,
x
<
1
,
x
≥
1.
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