Using Intersections to Solve Equivalent Functions
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
What is the domain restriction when solving
log
(
x
)
\log(x)
lo
g
(
x
)
equations by intersections?
QUESTION
Find the intersection
x
x
x
-values:
f
(
x
)
=
1
x
−
1
f(x)=\frac{1}{x-1}
f
(
x
)
=
x
−
1
1
and
g
(
x
)
=
1
g(x)=1
g
(
x
)
=
1
.
QUESTION
Identify the intersection
x
x
x
-value:
f
(
x
)
=
−
x
+
5
f(x)=-x+5
f
(
x
)
=
−
x
+
5
and
g
(
x
)
=
2
x
−
1
g(x)=2x-1
g
(
x
)
=
2
x
−
1
.
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ANSWER
x
=
2
x=2
x
=
2
. Set
−
x
+
5
=
2
x
−
1
-x+5=2x-1
−
x
+
5
=
2
x
−
1
and solve:
6
=
3
x
6=3x
6
=
3
x
, so
x
=
2
x=2
x
=
2
.
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