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1 year ago

F(x) = 3x + 2

Mathematics

1 answer:

Vinvika [58]1 year ago

5 0

Answer:

g(f(x)) = 9x² + 12x + 5

Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

= (3x + 2)² + 1

to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

= 9x² + 6x + 6x + 4 ← collect like terms

= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

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Step-by-step explanation:

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2 years ago

In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?

KonstantinChe [14]

Answer:

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Step-by-step explanation:

In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?

Step one:

given data

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width of the room = 69.7 feets

Required

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Step two:

from Pythagoras theorem

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