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ivolga24 [154]
2 years ago
12

What is the invers function of f(x)=(n+1)^3?

Mathematics
1 answer:
zimovet [89]2 years ago
8 0

Answer:

f^{-1}(x)=\sqrt[3]{x}-1

Step-by-step explanation:

f(x)=(x+1)^3\\\\y=(x+1)^3\\\\x=(y+1)^3\\\\\sqrt[3]{x}=y+1\\\\y=\sqrt[3]{x}-1\\ \\f^{-1}(x)=\sqrt[3]{x}-1

Graphing both inverses, they will be symmetrical about the line y=x.

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To rent a certain meeting room a college charges a reservation fee of $33 and an additional fee of $9.80 per hour the club wants
sammy [17]

Answer:

They must rent for less than 7 hours

Step-by-step explanation:

The charge for the room is the fee plus the hourly rate times the hour

f = 33+9.80t

This must be less than 101.60

101.60> 33+9.80t

Subtract 33 from each side

101.60-33> 33-33+9.80t

68.6> 9.80t

Divide each side by 9.8

68.8/9.8 > t

7>t

They must rent for less than 7 hours

7 0
2 years ago
1. Two students went to McDonald's. They each bought the same snack, which included a shake
Sindrei [870]

Answer:

12-2=10 b=10

Step-by-step explanation:

6 0
3 years ago
What is five times three hundred
spayn [35]
The answer is 1500 I hope this help!
4 0
3 years ago
Select the expression that can be used to find the volume of this rectangular prism. A. ( 6 × 3 ) + 15 = 33 i n . 3 (6×3)+15=33
Usimov [2.4K]

Answer:

D

Step-by-step explanation:

(3x6)x15=270 in

the volume formula is base times width times height.

6 0
3 years ago
Read 2 more answers
The table represents an exponential function.
kkurt [141]

Answer:

b=2/3

Step-by-step explanation:

The table is given as:

\left|\begin{array}{c|c}x&y\\--&--\\1&9\\2&6\\3&4\\4&\dfrac83\\\\5&\dfrac{16}{9}\end{array}\right|

The exponential function is given in the form

y= a (b)^{x}

where a is the initial value and b is the multiplicative rate of change

When  x=1, y=9, we have:

9= a (b)^{1}

When  x=3, y=4, we have:

4= a (b)^{3}

Dividing the two equations:

\dfrac{a (b)^{3}}{a (b)^{1}} =\dfrac{4}{9} \\b^2=\dfrac{4}{9}\\b=\sqrt{\dfrac{4}{9}} \\b=\dfrac{2}{3}

The multiplicative rate of change, b is 2/3.

5 0
3 years ago
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