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3 years ago

For what interval is the function f(x) = (20 + \sqrt{x}) / (\sqrt{20 + x}) continuous?

Mathematics

1 answer:

konstantin123 [22]3 years ago

5 0

Try this solution:
1. according to the condition
$\left \{ {{x \geq 0} \atop {20+x\ \textgreater \ 0}} \right. \ =\ \textgreater \ \ x \geq 0.$
2. for more details see the attached graph.

Answer: [0;+oo)

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2 years ago

Consider the graph of function g below. A diagonal curve declines from (negative 1, 9) through (0, 6), (2, 0), (3, negative 3),

KatRina [158]

The parent function, f(x) = x, might undergo the following series of transformations to produce the graph: Reflect over the y-axis, vertical stretch by a factor of 2, and then shift up 6 units.

<h3>What is geometric transformation?</h3>

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The converted function, when compared to the original function, will be obtained as y = -2x + 6 if we plot it on the coordinate plane.

The only method by which the provided graph may be converted to the coordinates specified in the problem is;

Reflect over the y-axis, multiply the vertical stretch by two, and then move up six units.

Thus, the parent function, f(x) = x, might undergo the following series of transformations to produce the graph: Reflect over the y-axis, vertical stretch by a factor of 2, and then shift up 6 units.

Learn more about the geometric transformation here:

brainly.com/question/16156895

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1 year ago

In the figure below, Ken's company has placed sprinkler heads at the center of the two small semicircles. The radius

Novay_Z [31]

Answer:

The answer is below

Step-by-step explanation:

The sprinklers have a radius of 5 ft each. Since the larger semicircle (entire lawn) has a diameter that is formed from the 2 semicircles, therefore the radius of the larger semicircle is 10 ft.

Area that wont be watered can be gotten by subtracting the area of the two smaller circles from the area of larger semicircle.

Area that wont be watered = 1/2(π * 10²) - 2[1/2(π * 5²)] = 50π - 25π = 25π ft²

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3 years ago