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PART
8
8
8
: USE A TABLE OR GRAPH TO FIND
\newline
f
−
1
(
−
2
)
f^{-1}(-2)
f
−
1
(
−
2
)
.
\newline
25
25
25
.)
\newline
\begin{array}{c|c} \hline x & f(x) \ \hline -2 & -1 \ -1 & -2 \ 0 & 1 \ 1 & 4 \ 2 & 7 \ 3 & 10 \ \hline \end{array}
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Math Problems
Algebra 1
Divide numbers written in scientific notation
Full solution
Q.
PART
8
8
8
: USE A TABLE OR GRAPH TO FIND
\newline
f
−
1
(
−
2
)
f^{-1}(-2)
f
−
1
(
−
2
)
.
\newline
25
25
25
.)
\newline
\begin{array}{c|c} \hline x & f(x) \ \hline -2 & -1 \ -1 & -2 \ 0 & 1 \ 1 & 4 \ 2 & 7 \ 3 & 10 \ \hline \end{array}
Determine
x
x
x
for
f
(
−
2
)
f(-2)
f
(
−
2
)
:
To find
f
−
1
(
−
2
)
f^{-1}(-2)
f
−
1
(
−
2
)
, we need to determine the value of
x
x
x
for which
f
(
x
)
=
−
2
f(x) = -2
f
(
x
)
=
−
2
. We can use the given table to find this value.
Find
x
x
x
for
f
(
−
2
)
f(-2)
f
(
−
2
)
:
Looking at the table, we find the
x
x
x
-value that corresponds to
f
(
x
)
=
−
2
f(x) = -2
f
(
x
)
=
−
2
. We see that when
x
=
−
1
x = -1
x
=
−
1
,
f
(
x
)
=
−
2
f(x) = -2
f
(
x
)
=
−
2
.
Conclusion for
f
−
1
(
−
2
)
f^{-1}(-2)
f
−
1
(
−
2
)
:
Since
f
−
1
(
−
2
)
f^{-1}(-2)
f
−
1
(
−
2
)
is asking for the
x
x
x
-value that gives an output of
−
2
-2
−
2
for the function
f
(
x
)
f(x)
f
(
x
)
, we can conclude that
f
−
1
(
−
2
)
=
−
1
f^{-1}(-2) = -1
f
−
1
(
−
2
)
=
−
1
.
More problems from Divide numbers written in scientific notation
Question
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\newline
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4
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⋅
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\newline
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\newline
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\newline
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Question
Find
lim
x
→
4
x
−
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3
−
x
+
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\lim _{x \rightarrow 4} \frac{x-4}{3-\sqrt{x+5}}
lim
x
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3
−
x
+
5
x
−
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.
\newline
Choose
1
1
1
answer:
\newline
(A)
−
6
-6
−
6
\newline
(B)
−
4
3
-\frac{4}{3}
−
3
4
\newline
(C)
−
10
3
-\frac{10}{3}
−
3
10
\newline
D The limit doesn't exist
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Posted 3 months ago
Question
Consider the following problem:
\newline
The population of ants in Chloe's ant farm changes at a rate of
r
(
t
)
=
−
15.8
⋅
0.
9
t
r(t)=-15.8 \cdot 0.9^{t}
r
(
t
)
=
−
15.8
⋅
0.
9
t
ants per month (where
t
t
t
is time in months). At time
t
=
0
t=0
t
=
0
, the ant farm's population is
150
150
150
ants. How many ants are in the farm at
t
=
4
t=4
t
=
4
?
\newline
Which expression can we use to solve the problem?
\newline
Choose
1
1
1
answer:
\newline
(A)
∫
0
4
r
(
t
)
d
t
\int_{0}^{4} r(t) d t
∫
0
4
r
(
t
)
d
t
\newline
(B)
∫
3
4
r
(
t
)
d
t
\int_{3}^{4} r(t) d t
∫
3
4
r
(
t
)
d
t
\newline
(C)
150
+
∫
3
4
r
(
t
)
d
t
150+\int_{3}^{4} r(t) d t
150
+
∫
3
4
r
(
t
)
d
t
\newline
(D)
150
+
∫
0
4
r
(
t
)
d
t
150+\int_{0}^{4} r(t) d t
150
+
∫
0
4
r
(
t
)
d
t
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Posted 3 months ago
Question
9
9
9
[
4
4
4
−
7
-7
−
7
(x
−
1
-1
−
1
)]+
4
4
4
[(
2
2
2
x+
5
5
5
)
−
7
-7
−
7
]=
11
11
11
x
−
332
-332
−
332
\newline
The solution set is \{\} . (Type an integer or a simplifed fra
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Posted 3 months ago
Question
Write the answer in proper scientific notation:
\newline
(
0.06
×
1
0
−
4
)
3
(0.06 \times 10^{-4})^{3}
(
0.06
×
1
0
−
4
)
3
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Question
Write the answer in proper scientific notation:
\newline
(
0.002
×
1
0
6
)
−
4
(0.002 \times 10^{6})^{-4}
(
0.002
×
1
0
6
)
−
4
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Question
Write the answer in proper scientific notation:
\newline
(
5
,
000
×
1
0
−
1
)
−
3
(5,000 \times 10^{-1})^{-3}
(
5
,
000
×
1
0
−
1
)
−
3
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