Relating Domain to Context and Graphs
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
What is the domain of
f
(
x
)
=
x
2
−
9
f(x)=\sqrt{x^2-9}
f
(
x
)
=
x
2
−
9
?
QUESTION
What is the domain of
f
(
x
)
=
1
(
x
−
2
)
(
x
+
5
)
f(x)=\frac{1}{(x-2)(x+5)}
f
(
x
)
=
(
x
−
2
)
(
x
+
5
)
1
?
QUESTION
What is the domain of
f
(
x
)
=
1
x
−
7
f(x)=\frac{1}{x-7}
f
(
x
)
=
x
−
7
1
?
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ANSWER
All real numbers except
x
=
7
x=7
x
=
7
. The denominator equals zero when
x
=
7
x=7
x
=
7
, creating a restriction.
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