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Math Problems
Algebra 2
Composition of linear and quadratic functions: find an equation
Which sign makes the statement true?
\newline
8
?
8.0
8 ? 8.0
8
?
8.0
\newline
Choices:
\newline
(A)
=
=
=
\newline
(B)
≠
\neq
=
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What is
(
q
∗
s
)
(
x
)
?
(q*s)(x) ?
(
q
∗
s
)
(
x
)?
\newline
q
(
x
)
=
5
x
+
2
q(x)=5x+2
q
(
x
)
=
5
x
+
2
\newline
s
(
x
)
=
−
4
x
+
5
s(x)=-4x+5
s
(
x
)
=
−
4
x
+
5
\newline
Write your answer as a polynomial or a rational function.
\newline
◻
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What is
(
f
∗
g
)
(
x
)
(f*g)(x)
(
f
∗
g
)
(
x
)
?
\newline
f
(
x
)
=
5
x
+
6
f(x)=5x+6
f
(
x
)
=
5
x
+
6
\newline
g
(
x
)
=
2
x
+
1
g(x)=2x+1
g
(
x
)
=
2
x
+
1
\newline
Write your answer as a polynomial or a rational function.
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Solve the equation below for
x
x
x
using any method:
\newline
x
2
=
8
x
−
35
x^{2}=8x-35
x
2
=
8
x
−
35
\newline
A).
x
=
−
7
;
x
=
5
x=-7;x=5
x
=
−
7
;
x
=
5
\newline
B).
3
±
5
i
3\pm5i
3
±
5
i
\newline
C).
4
±
19
4\pm\sqrt{19}
4
±
19
\newline
D).
4
±
i
19
4\pm i\sqrt{19}
4
±
i
19
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Solve for
y
y
y
. Express your answer in simplest radical form if necessary.
\newline
32
=
y
2
32=y^{2}
32
=
y
2
\newline
Answer:
y
=
y=
y
=
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Solve for
d
d
d
. Express your answer in simplest radical form if necessary.
\newline
17
=
d
3
17=d^{3}
17
=
d
3
\newline
Answer:
d
=
d=
d
=
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Solve for
m
m
m
. Express your answer in simplest radical form if necessary.
\newline
m
3
=
−
27
m^{3}=-27
m
3
=
−
27
\newline
Answer:
m
=
m=
m
=
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Solve for
m
m
m
. Express your answer in simplest radical form if necessary.
\newline
27
=
m
3
27=m^{3}
27
=
m
3
\newline
Answer:
m
=
m=
m
=
Get tutor help
Solve for
x
x
x
. Express your answer in simplest radical form if necessary.
\newline
121
=
x
2
121=x^{2}
121
=
x
2
\newline
Answer:
x
=
x=
x
=
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Solve for
d
d
d
. Express your answer in simplest radical form if necessary.
\newline
77
=
d
3
77=d^{3}
77
=
d
3
\newline
Answer:
d
=
d=
d
=
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Solve for
m
m
m
. Express your answer in simplest radical form if necessary.
\newline
−
216
=
m
3
-216=m^{3}
−
216
=
m
3
\newline
Answer:
m
=
m=
m
=
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Given the function
f
(
x
)
=
3
x
2
−
x
f(x)=3 x^{2}-x
f
(
x
)
=
3
x
2
−
x
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
x
−
3
x
2
f(x)=x-3 x^{2}
f
(
x
)
=
x
−
3
x
2
, then what is
−
3
f
(
x
)
-3 f(x)
−
3
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
5
x
2
−
1
f(x)=5 x^{2}-1
f
(
x
)
=
5
x
2
−
1
, then what is
f
(
x
)
+
3
f(x)+3
f
(
x
)
+
3
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
5
x
−
4
x
2
f(x)=5 x-4 x^{2}
f
(
x
)
=
5
x
−
4
x
2
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
1
+
5
x
2
f(x)=-1+5 x^{2}
f
(
x
)
=
−
1
+
5
x
2
, then what is
f
(
x
)
−
3
f(x)-3
f
(
x
)
−
3
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
6
−
x
2
f(x)=-6-x^{2}
f
(
x
)
=
−
6
−
x
2
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
2
−
6
x
2
f(x)=2-6 x^{2}
f
(
x
)
=
2
−
6
x
2
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
1
+
3
x
2
f(x)=-1+3 x^{2}
f
(
x
)
=
−
1
+
3
x
2
, then what is
f
(
x
)
+
3
f(x)+3
f
(
x
)
+
3
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
6
−
x
2
f(x)=-6-x^{2}
f
(
x
)
=
−
6
−
x
2
, then what is
f
(
x
)
−
2
f(x)-2
f
(
x
)
−
2
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
3
+
6
x
2
f(x)=3+6 x^{2}
f
(
x
)
=
3
+
6
x
2
, then what is
f
(
−
x
)
f(-x)
f
(
−
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
6
x
2
−
1
f(x)=6 x^{2}-1
f
(
x
)
=
6
x
2
−
1
, then what is
f
(
−
x
)
f(-x)
f
(
−
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
3
x
2
−
5
f(x)=3 x^{2}-5
f
(
x
)
=
3
x
2
−
5
, then what is
f
(
x
)
+
3
f(x)+3
f
(
x
)
+
3
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
1
+
3
x
2
f(x)=-1+3 x^{2}
f
(
x
)
=
−
1
+
3
x
2
, then what is
f
(
3
x
)
f(3 x)
f
(
3
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
5
x
2
−
4
f(x)=5 x^{2}-4
f
(
x
)
=
5
x
2
−
4
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
x
2
+
4
x
f(x)=-x^{2}+4 x
f
(
x
)
=
−
x
2
+
4
x
, then what is
f
(
x
)
−
2
f(x)-2
f
(
x
)
−
2
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
x
2
+
5
x
f(x)=-x^{2}+5 x
f
(
x
)
=
−
x
2
+
5
x
, then what is
f
(
x
−
3
)
f(x-3)
f
(
x
−
3
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
5
x
3
−
x
2
f(x)=5 x^{3}-x^{2}
f
(
x
)
=
5
x
3
−
x
2
, then what is
f
(
x
)
−
1
f(x)-1
f
(
x
)
−
1
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
6
x
−
x
2
f(x)=6 x-x^{2}
f
(
x
)
=
6
x
−
x
2
, then what is
f
(
x
+
2
)
f(x+2)
f
(
x
+
2
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
x
−
5
x
2
f(x)=-x-5 x^{2}
f
(
x
)
=
−
x
−
5
x
2
, then what is
f
(
−
3
x
)
f(-3 x)
f
(
−
3
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
4
+
2
x
3
f(x)=-4+2 x^{3}
f
(
x
)
=
−
4
+
2
x
3
, then what is
−
2
f
(
x
)
-2 f(x)
−
2
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
6
x
3
−
4
x
f(x)=6 x^{3}-4 x
f
(
x
)
=
6
x
3
−
4
x
, then what is
f
(
x
)
+
2
f(x)+2
f
(
x
)
+
2
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
2
x
+
x
2
f(x)=-2 x+x^{2}
f
(
x
)
=
−
2
x
+
x
2
, then what is
f
(
x
−
1
)
f(x-1)
f
(
x
−
1
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
x
−
x
2
f(x)=x-x^{2}
f
(
x
)
=
x
−
x
2
, then what is
3
f
(
x
)
3 f(x)
3
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
4
−
x
2
f(x)=-4-x^{2}
f
(
x
)
=
−
4
−
x
2
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
Get tutor help
Given the function
f
(
x
)
=
x
−
x
2
f(x)=x-x^{2}
f
(
x
)
=
x
−
x
2
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
Get tutor help
Given the function
f
(
x
)
=
5
x
2
+
1
f(x)=5 x^{2}+1
f
(
x
)
=
5
x
2
+
1
, then what is
2
f
(
x
)
2 f(x)
2
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
6
x
2
−
1
f(x)=6 x^{2}-1
f
(
x
)
=
6
x
2
−
1
, then what is
−
2
f
(
x
)
-2 f(x)
−
2
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
x
+
6
x
3
f(x)=-x+6 x^{3}
f
(
x
)
=
−
x
+
6
x
3
, then what is
f
(
x
)
−
2
f(x)-2
f
(
x
)
−
2
as a simplified polynomial?
\newline
Answer:
Get tutor help
Given the function
f
(
x
)
=
−
2
x
2
−
x
f(x)=-2 x^{2}-x
f
(
x
)
=
−
2
x
2
−
x
, then what is
f
(
x
)
+
2
f(x)+2
f
(
x
)
+
2
as a simplified polynomial?
\newline
Answer:
Get tutor help
Given the function
f
(
x
)
=
−
2
+
5
x
2
f(x)=-2+5 x^{2}
f
(
x
)
=
−
2
+
5
x
2
, then what is
f
(
x
)
−
1
f(x)-1
f
(
x
)
−
1
as a simplified polynomial?
\newline
Answer:
Get tutor help
Given the function
f
(
x
)
=
−
4
x
2
+
5
f(x)=-4 x^{2}+5
f
(
x
)
=
−
4
x
2
+
5
, then what is
f
(
x
−
2
)
f(x-2)
f
(
x
−
2
)
as a simplified polynomial?
\newline
Answer:
Get tutor help
Given the function
f
(
x
)
=
−
4
x
2
−
3
f(x)=-4 x^{2}-3
f
(
x
)
=
−
4
x
2
−
3
, then what is
f
(
x
−
1
)
f(x-1)
f
(
x
−
1
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
6
5
+
3
2
x
2
f(x)=\frac{6}{5}+\frac{3}{2} x^{2}
f
(
x
)
=
5
6
+
2
3
x
2
, then what is
f
(
x
−
2
)
f(x-2)
f
(
x
−
2
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
5
2
x
3
+
1
6
x
2
f(x)=\frac{5}{2} x^{3}+\frac{1}{6} x^{2}
f
(
x
)
=
2
5
x
3
+
6
1
x
2
, then what is
−
2
f
(
x
)
-2 f(x)
−
2
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
1
6
x
−
x
2
f(x)=-\frac{1}{6} x-x^{2}
f
(
x
)
=
−
6
1
x
−
x
2
, then what is
f
(
−
3
x
)
f(-3 x)
f
(
−
3
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
x
−
1
6
x
2
f(x)=-x-\frac{1}{6} x^{2}
f
(
x
)
=
−
x
−
6
1
x
2
, then what is
f
(
−
3
x
)
f(-3 x)
f
(
−
3
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
−
x
2
+
1
2
f(x)=-x^{2}+\frac{1}{2}
f
(
x
)
=
−
x
2
+
2
1
, then what is
f
(
x
−
1
)
f(x-1)
f
(
x
−
1
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
1
4
x
+
3
2
x
3
f(x)=\frac{1}{4} x+\frac{3}{2} x^{3}
f
(
x
)
=
4
1
x
+
2
3
x
3
, then what is
−
f
(
x
)
-f(x)
−
f
(
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
x
2
+
1
2
x
f(x)=x^{2}+\frac{1}{2} x
f
(
x
)
=
x
2
+
2
1
x
, then what is
f
(
x
)
−
1
f(x)-1
f
(
x
)
−
1
as a simplified polynomial?
\newline
Answer:
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