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Mathematics
Mathematics
Problem
Which of the following functions is continuous for all real numbers? a)
r
(
x
)
=
x
2
−
9
x
−
3
r(x)=\dfrac{x^{2}-9}{x-3}
r
(
x
)
=
x
−
3
x
2
−
9
b)
p
(
x
)
=
ln
(
x
2
−
1
)
p(x)=\ln(x^{2}-1)
p
(
x
)
=
ln
(
x
2
−
1
)
c)
h
(
x
)
=
e
x
2
−
7
h(x)=e^{x^{2}}-7
h
(
x
)
=
e
x
2
−
7
d)
f
(
x
)
=
2
x
+
1
x
−
3
f(x)=\dfrac{2x+1}{x-3}
f
(
x
)
=
x
−
3
2
x
+
1
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