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Mathematics
Mathematics
Problem
Let
f
f
f
be defined by
f
(
x
)
=
{
k
x
+
2
,
x
<
3
,
x
2
−
7
,
x
≥
3.
f(x)=\begin{cases} kx+2, & x<3,\\ x^2-7, & x\ge 3. \end{cases}
f
(
x
)
=
{
k
x
+
2
,
x
2
−
7
,
x
<
3
,
x
≥
3.
Which equation must be satisfied for
f
f
f
to be continuous at
x
=
3
x=3
x
=
3
? a)
3
k
+
2
=
0
3k+2=0
3
k
+
2
=
0
b)
k
=
2
k=2
k
=
2
c)
3
k
+
2
=
2
3k+2=2
3
k
+
2
=
2
d)
3
k
+
2
=
9
3k+2=9
3
k
+
2
=
9
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