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BabaBlast [244]
1 year ago
14

If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 8, find a function f such that f ∘ g = h. (Think about what operations you would have to

perform on the formula for g to end up with the formula for h.)
Mathematics
1 answer:
agasfer [191]1 year ago
7 0

Answer:

Step-by-step explanation:

Hello,

(\forall x \in \mathbb{R}) (fog)(x)=f(g(x))=f(2x+2)=h(x)=4x^2+8x+8\\\\=(2x+2)^2-2^2+4(2x+2)\\\\=(2x+2)^2+4(2x+2)-4\\\\\text{So, we conclude by.}\\\\\large \boxed{\sf \bf f(x)=x^2+4x-4}

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If Aiden and Natalie each set the arm length of their catapults to 55 centimeters, which statement is true?
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Answer:

Not enough information

Step-by-step explanation:

one of the catapults could have more force than the other

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1 year ago
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A triangle with exterior angles is shown. A triangle sits on a line and forms 2 exterior angles on the left and right of the tri
NARA [144]

Answer:

Option 3.

Step-by-step explanation:

It is given that a triangle sits on a line and forms 2 exterior angles on the left and right of the triangle of (2h) degrees.

The top interior angle of the triangle is 40 degrees.

\angle BAC=40

From the given figure it is clear that

\angle ABC+2h=180               (Supplementary angle)

\angle ABC=180-2h

\angle ACB+2h=180               (Supplementary angle)

\angle ACB=180-2h

According to the angle sum property of triangle, the sum of all interior angles of a triangle is 180 degree.

\angle ABC+\angle ACB+\angle BAC=180

(180-2h)+(180-2h)+40=180

Combine like terms.

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400-4h=180

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Divide both sides by -4.

h=\frac{-220}{-4}

h=55

The value of h is 55.

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2 years ago
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Sue wants to paint the longest wall in her bedroom pink. she measured the wall and found that it is 10 feet long and 8 feet tall
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Answer:

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sukhopar [10]

Answer:

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Step-by-step explanation:

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I hope that's the answer.

7 0
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