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Math Problems
Precalculus
Composition of functions
Given the function
f
(
x
)
=
3
+
4
x
f(x)=3+4 x
f
(
x
)
=
3
+
4
x
, 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
−
2
f(x)=-x-2
f
(
x
)
=
−
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
)
=
5
−
x
f(x)=5-x
f
(
x
)
=
5
−
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
)
=
6
x
+
4
f(x)=6 x+4
f
(
x
)
=
6
x
+
4
, 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
−
4
f(x)=-x-4
f
(
x
)
=
−
x
−
4
, 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
)
=
−
3
x
−
1
f(x)=-3 x-1
f
(
x
)
=
−
3
x
−
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
)
=
−
5
x
+
6
f(x)=-5 x+6
f
(
x
)
=
−
5
x
+
6
, 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
+
5
x
f(x)=1+5 x
f
(
x
)
=
1
+
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
)
=
−
1
+
3
x
f(x)=-1+3 x
f
(
x
)
=
−
1
+
3
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
)
=
−
4
−
6
x
f(x)=-4-6 x
f
(
x
)
=
−
4
−
6
x
, 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
+
6
x
f(x)=-1+6 x
f
(
x
)
=
−
1
+
6
x
, 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
)
=
2
+
x
f(x)=2+x
f
(
x
)
=
2
+
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
)
=
−
1
−
6
x
f(x)=-1-6 x
f
(
x
)
=
−
1
−
6
x
, then what is
f
(
2
x
)
f(2 x)
f
(
2
x
)
as a simplified polynomial?
\newline
Answer:
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Given the function
f
(
x
)
=
6
+
2
x
f(x)=6+2 x
f
(
x
)
=
6
+
2
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
−
1
3
f(x)=x-\frac{1}{3}
f
(
x
)
=
x
−
3
1
, then what is
f
(
x
+
2
)
f(x+2)
f
(
x
+
2
)
as a simplified polynomial?
\newline
Answer:
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Solve for
z
z
z
. Express your answer as a proper or improper fraction in simplest terms.
\newline
1
6
=
−
1
2
z
+
1
8
\frac{1}{6}=-\frac{1}{2} z+\frac{1}{8}
6
1
=
−
2
1
z
+
8
1
\newline
Answer:
z
=
z=
z
=
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(
18
+
4
i
)
+
(
−
11
+
23
i
)
=
(18+4 i)+(-11+23 i)=
(
18
+
4
i
)
+
(
−
11
+
23
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
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(
−
33
−
2
i
)
−
(
50
+
9
i
)
=
(-33-2 i)-(50+9 i)=
(
−
33
−
2
i
)
−
(
50
+
9
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
(
−
71
+
2
i
)
+
(
88
−
12
i
)
=
(-71+2 i)+(88-12 i)=
(
−
71
+
2
i
)
+
(
88
−
12
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
(
3
−
91
i
)
+
(
67
)
=
(3-91 i)+(67)=
(
3
−
91
i
)
+
(
67
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
(
14
+
60
i
)
+
(
−
30
+
2
i
)
=
(14+60 i)+(-30+2 i)=
(
14
+
60
i
)
+
(
−
30
+
2
i
)
=
\newline
Express your answer in the form
(
a
+
b
i
)
(a+b i)
(
a
+
bi
)
.
Get tutor help
