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zalisa [80]
3 years ago
15

The Pentagon in Washington DC is immense in size, with each outside wall 921 feet in length. What is the perimeter of the Pentag

on? A. 3,684 ft. B. 4,605 ft. C. 5,526 ft. D. 2,663,476.74 ft.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
921×5= B. 4,605


Hope this helps!!!
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The graph of f(x) = StartRoot x EndRoot is reflected across the x-axis and then across the y-axis to create the graph of functio
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Answer:

<em>The only value that is in the domains of both functions is 0</em>

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Step-by-step explanation:

As the original function is

f(x) = \sqrt{x}

Since, domain is the set of all possible input values that define the function, and range is the set of all possible output values for all possible domain values for which the function is defined.

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  • The range of f(x) = \sqrt{x} will be [0, ∞)

Please check the attached <em>figure a</em> for visualizing the graph of f(x) = \sqrt{x}.

<u><em>Impact of double transformation:</em></u>

  • When the function f(x) = \sqrt{x} is reflected across x-axis, the function becomes y = -\sqrt{x} after first transformation
  • After the second transformation across y-axis, the function y = -\sqrt{x} becomes  g(x) = -\sqrt{-x}

For

g(x) = -\sqrt{-x}

-x must be equal to or greater than zero for g(x) = -\sqrt{-x} to be defined i.e. -x ≥ 0.

So,

-x ≥ 0 can be written as x≤ 0

So,

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  • The range of g(x) = -\sqrt{-x} will be (∞, 0]

Please check the attached figure a for visualizing the graph of g(x) = -\sqrt{-x}.

So, from the above discussion, we can say that

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  • The range of g(x) is all values less than or equal to 0

So,

Only two statements are true about the functions f(x) and g(x) are true which are:

<em>The only value that is in the domains of both functions is 0</em>

<em>The range of g(x) is all values less than or equal to 0</em>

<em>Keywords: graph, function</em>

<em>Learn more about graph and function from brainly.com/question/11152594</em>

<em>#learnwithBrainly</em>

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