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Setler79 [48]
3 years ago
5

Solve for the inverse of: f(x)=1/8(x+1)^3

Mathematics
1 answer:
lara31 [8.8K]3 years ago
6 0

Answer: y=(8x)^{\frac{1}{3}} -1 or y=\sqrt[3]{8x} -1

Step-by-step explanation:

To find the inverse, you switch y with x and x with y. Then, you solve for y.

y=\frac{1}{8} (x+1)^3          [switch y with x and x with y]

x=\frac{1}{8} (y+1)^3          [multiply both sides by 8]

8x=(y+1)^3           [cube both sides]

\sqrt[3]{8x} =y+1             [subtract both sides by 1]

y=\sqrt[3]{8x} -1 or y=(8x)^{\frac{1}{3}} -1

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What can be concluded about the sequence 19, 15, 11,
Mariulka [41]

Option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The question is incomplete.

The question is:

What can be concluded about the sequences 19, 15, 11, 7, . . . represented on the graph? Check all that apply.

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.
  • The next term in the sequence is represented by point (4, 3).
  • f(x) = –4x + 19 represents the sequence.
  • An infinite number of points can be determined to follow this sequence.

The graph is attached to the picture please refer to the graph.

We have an arithmetic sequence:

19, 15, 11, 7,...

The first term is:

a = 19

Common difference d = 15-19 = -4

The nth term:

a(n) = 19 + (n-1)(-4)

a(n) = 19 -4n + 4

a(n) = -4n + 23

We can write above expression as:

f(x) = -4x + 23

Slope of the equation = -4

The correct options are:

  • The common difference of the sequence is the same as the slope of the graph.
  • The slope of the graph is –4.

Thus, an option first and option second are correct because the common difference of the sequence is the same as the slope of the graph.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

4 0
2 years ago
Two or more complete sentences, explain how to use ordered pairs of points in f(x) and g(x) to determine if f(x) and g(x) are in
kati45 [8]
If f(x) is an inverse of g(x),

when
f(x)=y
g(y)=x

aka
f(g(x))=x
g(f(x))=x


basically, the values should be swiched

example
f(x)=
(1,2)
(2,3)
(4,5)
then g(x)=
(2,1)
(3,2)
(5,4)
6 0
3 years ago
If three sides are given :side,side,side(S,S,andS):​
Aleks04 [339]

Answer:

(sss) condition

Step-by-step explanation:

hope the ans helped you

8 0
2 years ago
Help pls step by step explanation and awnser
docker41 [41]

Answer:

Notice that 2 sheets of stamps will NOT be enough because 2 sheets have a total of 40 stamps and NOT 47

Step-by-step explanation:

6 0
3 years ago
The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m
balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

3 0
3 years ago
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