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Mathematics
Mathematics
Problem
Consider
h
(
x
)
=
{
x
2
−
9
x
2
−
8
x
+
15
,
x
≠
3
,
5
,
7
,
x
=
3.
h(x)=\begin{cases}\dfrac{x^{2}-9}{x^{2}-8x+15}, & x\neq 3,5,\\7, & x=3.\end{cases}
h
(
x
)
=
⎩
⎨
⎧
x
2
−
8
x
+
15
x
2
−
9
,
7
,
x
=
3
,
5
,
x
=
3.
Identify all
x
x
x
-values where
h
h
h
is not continuous and indicate for each whether the discontinuity is removable.
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