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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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This question is basically the same as the other question of yours that I answered, so the explanation is very similar:

You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.

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Step-by-step explanation:

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