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SVETLANKA909090 [29]
2 years ago
12

Consider functions fand g.

Mathematics
1 answer:
Sauron [17]2 years ago
6 0

The value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

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

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = -x³

\rm g(x) =  |\dfrac{1}{8}x-1|

Plug x = 4 in the f(x)

f(4) = -4³ = -64

Plug the above value in the g(x)

\rm g(x) =  |\dfrac{1}{8}(-64)-1|

g(f(4)) = |-8-1| = |-9| = 9

Thus, the value of (gof)(4) is 9 if the function f(x) is f(x) = -x³, and function g(x) is g(x) = |1/8x-1| option (B) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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If you know the answer to these plz answer.
kondaur [170]

Answer:


Step-by-step explanation:  

You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4.  You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.

Please note:  the middle cube has been mislabeled.  Instead of volume = 30 units^3, the volume should be 45 units^3.

Here's the procedure:

Guess an appropriate s value.  Let's try s = side length = 3.5

Cube this:  (3.5 units)^3 = 42.875.  Too small.  Choose a larger possible side length, such as 3.7:  3.7^3 = 50.653.  Too large.

Try s = 3.6:  3.6^3 = 46.66.  Too large.

Choose a smaller s, one between 3.5 and 3.6:  3.55^3 = 44.73.  This is the best estimate yet for s.  Continue this work just a little further.  Try s = 3.57.  Cube it.  How close is the result to 45 cubic units?


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3 years ago
Find the sale price
Nimfa-mama [501]
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The sale price of the item should be $20.09
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Fie trapezul ABCD dreptunghic in A, BC||AD,CD=12, m unghiului BCD=60°, BC=2AD.
Step2247 [10]
B is the correct answer i think
3 0
4 years ago
Nikki made 3 cups of pear puree she filled some 2 ounce containers for freezing how many full containers of pear puree did Nikki
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Solve the rational equation x divided by 6 equals x squared divided by quantity x minus 1 end quantity, and check for extraneous
Dmitriy789 [7]

Answer:

Solution: x=-\frac{1}{5},x=0

Step-by-step explanation:

Given:

The rational equation to solve is given as:

\frac{x}{6}=\frac{x^2}{x-1}

Doing cross product, we get:

x\times (x-1)=6\times x^2\\x^2-x=6x^2\\\textrm{Bringing all variables to the right side, we get:}\\6x^2-x^2+x=0\\5x^2+x=0\\x(5x+1)=0\\x=0\ or\ 5x+1=0\\x=0\ or\ x=-\frac{1}{5}

Now, for x=0, the rational equation is equal to 0. So, x=0 is a solution.

Also, x=-\frac{1}{5} is also a solution.

So, no extraneous solution.

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4 years ago
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