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Mathematics
Mathematics
Problem
A function is defined by
f
(
x
)
=
{
x
2
for
x
≤
3
5
x
+
k
for
x
>
3
f(x) = \begin{cases} x^2 & \text{for } x \le 3 \\ 5x + k & \text{for } x > 3 \end{cases}
f
(
x
)
=
{
x
2
5
x
+
k
for
x
≤
3
for
x
>
3
Find the value of
k
k
k
so that
f
(
x
)
f(x)
f
(
x
)
is continuous at
x
=
3
x = 3
x
=
3
.
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