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Math Problems
Precalculus
Evaluate functions
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
1
?
1
×
1
3
1 ? 1 \times \frac{1}{3}
1
?
1
×
3
1
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
7
?
7
×
1
1
7 ? 7 \times \frac{1}{1}
7
?
7
×
1
1
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Choose the correct symbol to compare the expressions. Do not multiply.
\newline
7
×
1
3
7 \times \frac{1}{3}
7
×
3
1
?
7
7
7
\newline
Choices:
\newline
(A)
>
>
>
\newline
(B)
<
<
<
\newline
(C)
=
=
=
Get tutor help
Which of the following are irrational numbers?
\newline
Multi-select Choices:
\newline
(A)
10
\sqrt{10}
10
\newline
(B)
2
2
2
\newline
(C)
0
0
0
\newline
(D)
π
\pi
π
Get tutor help
Use the following function rule to find
f
(
11
)
f(11)
f
(
11
)
.
\newline
f
(
x
)
=
−
10
−
7
x
f(x) = -10 - 7x
f
(
x
)
=
−
10
−
7
x
\newline
f
(
11
)
=
f(11) =
f
(
11
)
=
_____
Get tutor help
f
′
(
x
)
=
−
4
x
2
f^{\prime}(x)=-\frac{4}{x^{2}}
f
′
(
x
)
=
−
x
2
4
and
f
(
2
)
=
4
f(2)=4
f
(
2
)
=
4
.
\newline
f
(
1
)
=
f(1)=
f
(
1
)
=
Get tutor help
The graph of function
g
g
g
is shown below. Let
f
(
x
)
=
∫
−
3
x
g
(
t
)
d
t
f(x)=\int_{-3}^{x} g(t) d t
f
(
x
)
=
∫
−
3
x
g
(
t
)
d
t
.
\newline
Evaluate
f
(
1
)
f(1)
f
(
1
)
.
\newline
f
(
1
)
=
f(1)=
f
(
1
)
=
Get tutor help
The graph of function
g
g
g
is shown below. Let
h
(
x
)
=
∫
−
5
x
g
(
t
)
d
t
h(x)=\int_{-5}^{x} g(t) d t
h
(
x
)
=
∫
−
5
x
g
(
t
)
d
t
.
\newline
Evaluate
h
(
0
)
h(0)
h
(
0
)
.
\newline
h
(
0
)
=
h(0)=
h
(
0
)
=
Get tutor help
The graph of function
g
g
g
is shown below. Let
f
(
x
)
=
∫
0
x
g
(
t
)
d
t
f(x)=\int_{0}^{x} g(t) d t
f
(
x
)
=
∫
0
x
g
(
t
)
d
t
.
\newline
Evaluate
f
(
5
)
f(5)
f
(
5
)
.
\newline
f
(
5
)
=
f(5)=
f
(
5
)
=
Get tutor help
Use the following function rule to find
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
x
)
=
116
x
−
3
f(x) = \frac{116}{x} - 3
f
(
x
)
=
x
116
−
3
\newline
f
(
4
)
=
f(4) =
f
(
4
)
=
_____
Get tutor help
Use the following function rule to find
f
(
−
9
)
f(-9)
f
(
−
9
)
.
\newline
f
(
x
)
=
−
5
−
11
x
f(x) = -5 - 11x
f
(
x
)
=
−
5
−
11
x
\newline
f
(
−
9
)
=
f(-9) =
f
(
−
9
)
=
_____
Get tutor help
Use the following function rule to find
f
(
17
)
f(17)
f
(
17
)
.
\newline
f
(
x
)
=
1
+
119
x
f(x) = 1 + \frac{119}{x}
f
(
x
)
=
1
+
x
119
\newline
f
(
17
)
=
f(17) =
f
(
17
)
=
_____
Get tutor help
Use the following function rule to find
f
(
58
)
f(58)
f
(
58
)
.
\newline
f
(
x
)
=
−
58
x
+
11
f(x) = -\frac{58}{x} + 11
f
(
x
)
=
−
x
58
+
11
\newline
f
(
58
)
=
f(58) =
f
(
58
)
=
_____
Get tutor help
Use the following function rule to find
f
(
−
72
)
f(-72)
f
(
−
72
)
.
\newline
f
(
x
)
=
2
−
x
12
f(x) = 2 - \frac{x}{12}
f
(
x
)
=
2
−
12
x
\newline
f
(
−
72
)
=
f(-72) =
f
(
−
72
)
=
_____
Get tutor help
Use the following function rule to find
f
(
17
)
f(17)
f
(
17
)
.
\newline
f
(
x
)
=
17
x
−
2
f(x) = \frac{17}{x} - 2
f
(
x
)
=
x
17
−
2
\newline
f
(
17
)
=
f(17) =
f
(
17
)
=
_____
Get tutor help
Use the following function rule to find
f
(
2
)
f(2)
f
(
2
)
.
\newline
f
(
x
)
=
7
+
22
x
f(x) = 7 + \frac{22}{x}
f
(
x
)
=
7
+
x
22
\newline
f
(
2
)
=
f(2) =
f
(
2
)
=
_____
Get tutor help
Use the following function rule to find
f
(
115
)
f(115)
f
(
115
)
.
\newline
f
(
x
)
=
6
+
115
x
f(x) = 6 + \frac{115}{x}
f
(
x
)
=
6
+
x
115
\newline
f
(
115
)
=
f(115) =
f
(
115
)
=
_____
Get tutor help
Use the following function rule to find
f
(
126
)
f(126)
f
(
126
)
.
\newline
f
(
x
)
=
11
−
126
x
f(x) = 11 - \frac{126}{x}
f
(
x
)
=
11
−
x
126
\newline
f
(
126
)
=
f(126) =
f
(
126
)
=
_____
Get tutor help
Use the following function rule to find
f
(
54
)
f(54)
f
(
54
)
.
\newline
f
(
x
)
=
−
3
−
108
x
f(x) = -3 - \frac{108}{x}
f
(
x
)
=
−
3
−
x
108
\newline
f
(
54
)
=
f(54) =
f
(
54
)
=
_____
Get tutor help
Use the following function rule to find
f
(
6
)
f(6)
f
(
6
)
.
\newline
f
(
x
)
=
10
−
54
x
f(x) = 10 - \frac{54}{x}
f
(
x
)
=
10
−
x
54
\newline
f
(
6
)
=
f(6) =
f
(
6
)
=
_____
Get tutor help
Use the following function rule to find
f
(
6
)
f(6)
f
(
6
)
.
\newline
f
(
x
)
=
6
x
+
9
f(x) = \frac{6}{x} + 9
f
(
x
)
=
x
6
+
9
\newline
f
(
6
)
=
f(6) =
f
(
6
)
=
_____
Get tutor help
Use the following function rule to find
f
(
−
2
)
f(-2)
f
(
−
2
)
.
\newline
f
(
x
)
=
10
+
6
x
f(x) = 10 + 6x
f
(
x
)
=
10
+
6
x
Get tutor help
Use the following function rule to find
f
(
16
)
f(16)
f
(
16
)
.
\newline
f
(
x
)
=
8
+
2
x
f(x) = 8 + 2\sqrt{x}
f
(
x
)
=
8
+
2
x
\newline
f
(
16
)
=
f(16) =
f
(
16
)
=
_____
Get tutor help
Use the following function rule to find
f
(
20
)
f(20)
f
(
20
)
.
\newline
f
(
x
)
=
10
5
+
x
f(x) = 10\sqrt{5 + x}
f
(
x
)
=
10
5
+
x
\newline
f
(
20
)
=
f(20) =
f
(
20
)
=
_____
Get tutor help
Use the following function rule to find
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
x
)
=
4
x
+
6
f(x) = 4\sqrt{x} + 6
f
(
x
)
=
4
x
+
6
\newline
f
(
4
)
=
f(4) =
f
(
4
)
=
_____
Get tutor help
Use the following function rule to find
f
(
144
)
f(144)
f
(
144
)
.
\newline
f
(
x
)
=
2
x
+
1
f(x) = 2\sqrt{x} + 1
f
(
x
)
=
2
x
+
1
\newline
f
(
144
)
=
f(144) =
f
(
144
)
=
_____
Get tutor help
Use the following function rule to find
f
(
144
)
f(144)
f
(
144
)
.
\newline
f
(
x
)
=
x
+
10
f(x) = \sqrt{x} + 10
f
(
x
)
=
x
+
10
\newline
f
(
144
)
=
f(144) =
f
(
144
)
=
_____
Get tutor help
Use the following function rule to find
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
x
)
=
11
+
x
f(x) = 11 + \sqrt{x}
f
(
x
)
=
11
+
x
\newline
f
(
4
)
=
f(4) =
f
(
4
)
=
_____
Get tutor help
Use the following function rule to find
f
(
64
)
f(64)
f
(
64
)
.
\newline
f
(
x
)
=
10
x
+
10
f(x) = 10\sqrt{x} + 10
f
(
x
)
=
10
x
+
10
\newline
f
(
64
)
=
f(64) =
f
(
64
)
=
_____
Get tutor help
Use the following function rule to find
f
(
49
)
f(49)
f
(
49
)
.
\newline
f
(
x
)
=
7
+
12
x
f(x) = 7 + 12\sqrt{x}
f
(
x
)
=
7
+
12
x
\newline
f
(
49
)
=
f(49) =
f
(
49
)
=
_____
Get tutor help
Use the following function rule to find
f
(
121
)
f(121)
f
(
121
)
.
\newline
f
(
x
)
=
8
x
f(x) = 8\sqrt{x}
f
(
x
)
=
8
x
\newline
f
(
121
)
=
f(121) =
f
(
121
)
=
_____
Get tutor help
Use the following function rule to find
f
(
18
)
f(18)
f
(
18
)
.
\newline
f
(
x
)
=
9
18
+
x
f(x) = 9\sqrt{18 + x}
f
(
x
)
=
9
18
+
x
\newline
f
(
18
)
=
f(18) =
f
(
18
)
=
_____
Get tutor help
Use the following function rule to find
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
x
)
=
10
−
x
f(x) = 10 - \sqrt{x}
f
(
x
)
=
10
−
x
\newline
f
(
4
)
=
f(4) =
f
(
4
)
=
_____
Get tutor help
Use the following function rule to find
f
(
77
)
f(77)
f
(
77
)
.
\newline
f
(
x
)
=
6
102
−
x
f(x) = 6\sqrt{102 - x}
f
(
x
)
=
6
102
−
x
\newline
f
(
77
)
=
f(77) =
f
(
77
)
=
_____
Get tutor help
Use the following function rule to find
f
(
121
)
f(121)
f
(
121
)
.
\newline
f
(
x
)
=
9
x
f(x) = 9\sqrt{x}
f
(
x
)
=
9
x
\newline
f
(
121
)
=
f(121) =
f
(
121
)
=
_____
Get tutor help
Use the following function rule to find
f
(
36
)
f(36)
f
(
36
)
.
\newline
f
(
x
)
=
4
+
2
x
f(x) = 4 + 2\sqrt{x}
f
(
x
)
=
4
+
2
x
\newline
f
(
36
)
=
f(36) =
f
(
36
)
=
_____
Get tutor help
Use the following function rule to find
f
(
144
)
f(144)
f
(
144
)
.
\newline
f
(
x
)
=
8
x
+
3
f(x) = 8\sqrt{x} + 3
f
(
x
)
=
8
x
+
3
\newline
f
(
144
)
=
f(144) =
f
(
144
)
=
_____
Get tutor help
Use the following function rule to find
f
(
16
)
f(16)
f
(
16
)
.
\newline
f
(
x
)
=
4
x
f(x) = 4\sqrt{x}
f
(
x
)
=
4
x
\newline
f
(
16
)
=
f(16) =
f
(
16
)
=
_____
Get tutor help
Use the following function rule to find
f
(
4
)
f(4)
f
(
4
)
.
\newline
f
(
x
)
=
10
x
f(x) = 10\sqrt{x}
f
(
x
)
=
10
x
\newline
f
(
4
)
=
f(4) =
f
(
4
)
=
_____
Get tutor help
Use the following function rule to find
f
(
40
)
f(40)
f
(
40
)
.
\newline
f
(
x
)
=
12
65
−
x
f(x) = 12\sqrt{65 - x}
f
(
x
)
=
12
65
−
x
\newline
f
(
40
)
=
f(40) =
f
(
40
)
=
_____
Get tutor help
Use the following function rule to find
f
(
16
)
f(16)
f
(
16
)
.
\newline
f
(
x
)
=
3
x
−
3
f(x) = 3\sqrt{x} - 3
f
(
x
)
=
3
x
−
3
\newline
f
(
16
)
=
f(16) =
f
(
16
)
=
_____
Get tutor help
Use the following function rule to find
f
(
1
)
f(1)
f
(
1
)
.
\newline
f
(
x
)
=
1
+
12
x
f(x) = 1 + 12\sqrt{x}
f
(
x
)
=
1
+
12
x
\newline
f
(
1
)
=
f(1) =
f
(
1
)
=
_____
Get tutor help
Use the following function rule to find
f
(
49
)
f(49)
f
(
49
)
.
\newline
f
(
x
)
=
5
+
x
f(x) = 5 + \sqrt{x}
f
(
x
)
=
5
+
x
\newline
f
(
49
)
=
f(49) =
f
(
49
)
=
_____
Get tutor help
Use the following function rule to find
f
(
123
)
f(123)
f
(
123
)
.
\newline
f
(
x
)
=
6
172
−
x
f(x) = 6\sqrt{172 - x}
f
(
x
)
=
6
172
−
x
\newline
f
(
123
)
=
f(123) =
f
(
123
)
=
_____
Get tutor help
Use the following function rule to find
f
(
144
)
f(144)
f
(
144
)
.
\newline
f
(
x
)
=
1
+
5
x
f(x) = 1 + 5\sqrt{x}
f
(
x
)
=
1
+
5
x
\newline
f
(
144
)
=
f(144) =
f
(
144
)
=
_____
Get tutor help
Use the following function rule to find
f
(
40
)
f(40)
f
(
40
)
.
\newline
f
(
x
)
=
10
9
+
x
f(x) = 10\sqrt{9 + x}
f
(
x
)
=
10
9
+
x
\newline
f
(
40
)
=
f(40) =
f
(
40
)
=
_____
Get tutor help
Use the following function rule to find
f
(
100
)
f(100)
f
(
100
)
.
\newline
f
(
x
)
=
3
x
−
8
f(x) = 3\sqrt{x} - 8
f
(
x
)
=
3
x
−
8
\newline
f
(
100
)
=
f(100) =
f
(
100
)
=
_____
Get tutor help
Use the following function rule to find
f
(
49
)
f(49)
f
(
49
)
.
\newline
f
(
x
)
=
x
−
1
f(x) = \sqrt{x} - 1
f
(
x
)
=
x
−
1
\newline
f
(
49
)
=
f(49) =
f
(
49
)
=
_____
Get tutor help
Use the following function rule to find
f
(
6
)
f(6)
f
(
6
)
.
\newline
f
(
x
)
=
10
3
+
x
f(x) = 10\sqrt{3 + x}
f
(
x
)
=
10
3
+
x
\newline
f
(
6
)
=
f(6) =
f
(
6
)
=
_____
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Use the following function rule to find
f
(
13
)
f(13)
f
(
13
)
.
\newline
f
(
x
)
=
8
3
+
x
f(x) = 8\sqrt{3 + x}
f
(
x
)
=
8
3
+
x
\newline
f
(
13
)
=
f(13) =
f
(
13
)
=
_____
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