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BabaBlast [244]
2 years 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]2 years 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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iren2701 [21]

Answer:34p+16g=208

47p+16g=208

Step-by-step explanation:

Let p=the price of each pound of peaches.

Let g=the price of each pound of grapes.

Each pound of peaches sells for $p, so 34 pounds of peaches will bring in 34p dollars. Each pound of grapes will bring in 45g dollars. Therefore, the total amount 34p+45g=192.25

Likewise, if 47 pounds of peaches and 16 pounds of grapes brought in $208 then

47p+16g=208

34p+45g=192.25

47+16g=208

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Match the line segments with their lengths. If necessary, round your answers to the nearest hundredth. PLEASE HELP ME
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Answer:

the fourth one

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A graph of a quadratic function y = f(x) is shown below.
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We are given a graph of a quadratic function y = f(x) .

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8 0
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boyakko [2]
Gross income : 785 per week

deductions are :
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income tax : 90.33
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1% city tax : 0.01(785) = 7.85
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785 - 179.68 = net pay
605.32 = net pay <====

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2 years ago
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