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Zina [86]
3 years ago
12

If g(x) = 3x + 2 and h(x) = 9x2 + 12x + 6, find a function f such that f ○ g = h

Mathematics
1 answer:
Virty [35]3 years ago
6 0
F(g(x)) = f(3x+2) = h(x)=9x^2+12x + 6

Note that (3x+2)^2 = 9x^2 + 12x + 4, which is almost, but not quite, equal to h(x).

Let's experiment.  What if f(x) = x^2 + 2?

Then f(3x+2) = (3x+2)^2 + 2 = 9x^2 + 12x + 4 + 2 = 9x^2 + 12x + 6, which is the same as the given h(x).

Thus, f(x) is x^2 + 2.
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Please please give answer
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Answer:

Then the total area is  116 cm^2 which agrees with answer D

Step-by-step explanation:

Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)

The Area of a rectangle is the product: base x height

In our case :

Area of Big rectangle = 12 cm x 7 cm = 84 cm^2

Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2

Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2

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3 years ago
How many raisins are left in a jar of 37 raisins after you have eaten some? The equation _______ best models this situation. A.
nordsb [41]

Answer:

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3 years ago
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7 0
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The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What
Leona [35]

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Add 172 with 96. 172+96=268.

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7 0
3 years ago
Which is the graph of the function f(x)= negative square root x
Vsevolod [243]
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Thus, the only plausible graphs are 1 and 3 since they are below the x-axis.

Now, \sqrt{x} and -\sqrt{x} are only defined for x≥0, because only for these x'es we can take the square root. 

Note that the third graph has domain (-infinity, 0], so it is not the right one, while 1 is ok.


Answer: first graph  


6 0
3 years ago
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