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rewona [7]
3 years ago
12

Find fg(x)

) = {x}^{2} + 2" alt="f(x) = {x}^{2} + 2" align="absmiddle" class="latex-formula">
g(x) =  {x}^{2}  + 6x + 11
​
Mathematics
1 answer:
Kipish [7]3 years ago
7 0

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

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The width of the rectangle is 7 feet, and the diagonal length of the rectangle is 16 feet. which measurement is the closest to t
yanalaym [24]

Answer: b. 14ft

Step-by-step explanation:

In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.

To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + 7²

256 = L² + 49

L² = 256 - 49 = 207

L = √207

L = 14.38

the closest to the length of this rectangle in feet is

14ft

3 0
3 years ago
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I need help with this someone!!
Alex

Answer:

Do u have answer choices?

4 0
3 years ago
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The parent graph (x) = y' wastransformed to form the graph ofb(x) = 6x. Which describes thetransformation?
aivan3 [116]

correct answer is option C, i.e. vertical shrink by a factor of 1/6.

Given:

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Find:

we have to find the correct option.

Explanation:

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