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Veronika [31]
3 years ago
10

For the funcations f(x) =2x-6 and g(x) =5x+1 which composition produces the greatest output

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer:

C. f(g(x)) produces the greater output.  

Step-by-step explanation:

ƒ(x) = 2x - 6

g(x) = 5x + 1

f(g(x)} = 2(5x + 1) - 6 = 10x + 2 - 6 =10x - 4

g(f(x)) = 5(2x- 6) + 1 = 10x - 30 + 1 = 10x - 29

f(g(x)) - g(f(x)) = 10x - 4 - (10x -29) = 10x - 4 - 10x + 29 = 25

f(g(x)) is always 25 units greater than g(f(x)), no matter the value of x.

Thus f(g(x)) produces the greater output.

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Answer:

$176 for 8 hours of work.

Step-by-step explanation:

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Would anyone be able to help me with this?
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This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.

<h3>How to solve for the maximum of the graph</h3>

We have ( x-2²) (x-4)

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x - 2 = 0, x = 2

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b. The graph here does not have a local maximum

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To do this you have to differentiate the equation

Use the product rule of differentiation in order to solve for the solution.

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Read more on minimum and maximum points here:

brainly.com/question/12120831

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3 0
2 years ago
In what grade do you learn this math equation? You don't have to solve, I'm just wondering
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For their homecoming​ parade, the students of​ U-Math have created a colorful​ banner, 41 meters in​ length, that is made of two
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Answer:

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Step-by-step explanation:

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or

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--->

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sleet_krkn [62]

Answer:

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Step-by-step explanation:

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