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Mathematics
Mathematics
Problem
Define
f
(
x
)
=
x
2
−
4
f(x)=x^2-4
f
(
x
)
=
x
2
−
4
and
g
(
x
)
=
∣
x
∣
−
3
g(x)=|x|-3
g
(
x
)
=
∣
x
∣
−
3
. Determine the domain of the quotient function
(
f
g
)
(
x
)
=
f
(
x
)
g
(
x
)
\displaystyle \left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}
(
g
f
)
(
x
)
=
g
(
x
)
f
(
x
)
.
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