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Mathematics
Mathematics
Problem
Determine the constant
m
m
m
for which the function
g
(
x
)
=
{
∣
x
∣
+
m
,
x
<
0
,
x
2
+
1
,
x
≥
0
g(x)=\begin{cases} |x|+m,& x<0,\\ x^{2}+1,& x\ge 0 \end{cases}
g
(
x
)
=
{
∣
x
∣
+
m
,
x
2
+
1
,
x
<
0
,
x
≥
0
is continuous at
x
=
0
x=0
x
=
0
.
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