Help!!

A.) show work as you evaluate the composition: (g o g) (2)

B.) show work as you find: f^-1 (x)

C.) show a composition of the two functions f and g. Are they inverse functions, explain using a complete sentence

Help!!A.) Show Work As You Evaluate The Composition: (g O G) (2)B.) Show Work As You Find: F^-1 (x)C.)

Answers

Answer 1

Answer:

Hello,

Step-by-step explanation:

[tex]A)\\g(x)=\dfrac{x-5}{-3} =\dfrac{-x}{3} +\dfrac{5}{3} \\\\(gog)(x)=g(g(x))=g(\dfrac{-x}{3} +\dfrac{5}{3})\\\\=\dfrac{\dfrac{-x}{3} +\dfrac{5}{3} }{3}+\dfrac{5}{3} \\\\\\=\dfrac{-x}{9} +\dfrac{5}{9} +\dfrac{5}{3}\\\\=-\dfrac{x}{9}+\dfrac{20}{9} \\\\\\(gog)(2)=-\dfrac{2}{9}+\dfrac{20}{9} =\dfrac{18}{9}=2 \\\\[/tex]

[tex]B)\\f(x)=y=-3x-5\\exchanging\ y\ and\ x\\x=-3y-5\\3y=-x-5\\\\y=\dfrac{-x}{3} -\dfrac{5}{3} \\\\f^{-1}(x)=\dfrac{-x}{3} -\dfrac{5}{3} \\\\[/tex]

[tex]C)\\\\(fog)(x)\ must\ be\ equal\ to\ x\\\\\\(fog)(x)=g(f(x))=g(-3x-5)\\\\=\dfrac{-(-3x-5)}{3} +\dfrac{5}{3} \\\\=x+\dfrac{5}{3} +\dfrac{5}{3} \\\\\\=x+\dfrac{10}{3}\ and\ not\ x\ !!!\\[/tex]

f(x) and g(x) are not inverse functions.


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c x 1 dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation

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Answer:

Combined cost C(x) = cx + 4c/(x+1)

minimum C(x) ==> C '(x) = 0

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Step-by-step explanation:

Q4.B/ Evaluate the integral

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Answer:

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Step-by-step explanation:

It has been a long time that i have done that!

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I need help comparing fractions

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Answer:

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Step-by-step explanation:

they're both 2/3

Answer:

6/9 and 10/15

Step-by-step explanation:

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Step-by-step explanation:

x=29

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that's the answer

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Answer:

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Step-by-step explanation:

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Answers

Funke has #18.65 LEFT, which was obtained by Subtracting her initial amount from amount spent.

SPENDING:

Total amount = #40

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vegetable = 3 at #1.25 each

oranges = 27 at 7k each

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To obtain the amount Funke has left, we subtract the total amount of items she purchased from the total amount she has :

Total cost of :

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Vegetable, 3kg = 3 * 1.25 = #3.75

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AMOUNT SHE HAS LEFT :

(INITIAL AMOUNT - TOTAL AMOUNT SPENT)

= #40 - #21.35

= #18. 65

Therefore, the amount Funke has left after making the above purchases is #18.65

Learn more about subtraction word problem :

https://brainly.com/question/16479511

HELP meeee plllzzzz !!!!!!!!!!!!!!!

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Answer:

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Answer:

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Answer:

Step-by-step explanation:

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In a health club, research shows that on average, patrons spend an average of 46.2 minutes
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Answers

As the problem states, the variable has a normal distribution, and thus, concepts of this distribution are used to solve this question.

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In a health club, research shows that on average, patrons spend an average of 46.2 minutes  on the treadmill, with a standard deviation of 4.8 minutes.

This means that [tex]\mu = 46.2, \sigma = 4.8[/tex]

Find the probability that randomly selected individual would spent  between 30 and 40 minutes on the treadmill.

This is the p-value of Z when X = 40 subtracted by the p-value of Z when X = 30.

X = 40

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40 - 46.2}{4.8}[/tex]

[tex]Z = -1.29[/tex]

[tex]Z = -1.29[/tex] has a p-value of 0.0985

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[tex]Z = \frac{30 - 46.2}{4.8}[/tex]

[tex]Z = -3.38[/tex]

[tex]Z = -3.38[/tex] has a p-value of 0.0004.

0.0985 - 0.0004 = 0.0981

Thus, 0.0981 = 9.81% probability that randomly selected individual would spent  between 30 and 40 minutes on the treadmill.

For another example of the normal distribution, you can check https://brainly.com/question/15181104.

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

4

Step-by-step explanation:

BC²=AC × DC

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Answers

1436 ml

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( divide by 1000)

Answer:

1,436L ,......................

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Answer:

3m=300cm.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Is there a picture that goes with the question ?

QUESTION 6 . 1 POINT
$12,000 is invested at 6.8% compounded continuously. After how many years, to the nearest hundredth, will it be worth
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Provide your answer holom

Answers

9514 1404 393

Answer:

 16.25

Step-by-step explanation:

The value of principal P compounded continuously at annual rate r for t years is ...

  A = Pe^(rt)

Then t is ...

  t = ln(A/P)/r

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The investment will be worth $36,230 after 16.25 years.

Help plz last question

Answers

Answer:

224π in^2

Step-by-step explanation:

Just plug in the values,

Surface area=2πr(h+r) [Factoring]

r=7in

h=9in

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Answers

252 different samples can be taken.

-------------------------

The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.

-------------------------

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

-------------------------

In this question, samples of 5 from a set of 10, so:

[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]

252 different samples can be taken.

A similar question is given at https://brainly.com/question/24278448

Find the area of the shape below

Answers

Answer:

The shape could be divided into a rectangle and a trapezoid.

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OAmalOHopeO

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Answer:

smallest is 0 and greatest is 6

simple

Answer:

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Step-by-step explanation:

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