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Let’s check out your problem:
The graph of function
f
f
f
is shown below. Let
g
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
g(x)=\int_{-3}^{x} f(t) d t
g
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
.
\newline
Evaluate
g
(
−
1
)
g(-1)
g
(
−
1
)
.
\newline
g
(
−
1
)
=
g(-1)=
g
(
−
1
)
=
View step-by-step help
Home
Math Problems
Algebra 2
Evaluate rational expressions II
Full solution
Q.
The graph of function
f
f
f
is shown below. Let
g
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
g(x)=\int_{-3}^{x} f(t) d t
g
(
x
)
=
∫
−
3
x
f
(
t
)
d
t
.
\newline
Evaluate
g
(
−
1
)
g(-1)
g
(
−
1
)
.
\newline
g
(
−
1
)
=
g(-1)=
g
(
−
1
)
=
Identify Integral:
Identify the integral to evaluate:
g
(
−
1
)
=
∫
−
3
−
1
f
(
t
)
d
t
g(-1) = \int_{-3}^{-1} f(t) \, dt
g
(
−
1
)
=
∫
−
3
−
1
f
(
t
)
d
t
.
Graph Analysis:
Look at the graph of
f
(
t
)
f(t)
f
(
t
)
to determine the area under the curve from
−
3
-3
−
3
to
−
1
-1
−
1
.
Calculate Area:
Calculate the area of the shapes under the curve from
−
3
-3
−
3
to
−
1
-1
−
1
. If the graph is not provided, this step cannot be completed.
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Divide. Write the quotient in lowest terms.
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