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3 years ago

Please give an example of another function whose inverse is only defined if we restrict the domain of the original function.

Mathematics

2 answers:

tekilochka [14]3 years ago

6 0

Answer:

f(x) = x^2

Step-by-step explanation:

The square root function is defined to have a non-negative range only. That corresponds to restricting the domain of f(x) = x^2 to positive values of x.

_____

The attached graph shows the domain-restricted f(x)=x² in solid red and the corresponding f⁻¹(x) = √x in solid blue. The other halves of those curves are shown as dotted lines (and are inverse functions of each other, too). The dashed orange line is the line of reflection between a function and its inverse.

jonny [76]3 years ago

5 0

Answer:

OH NANANA

Step-by-step explanation:

Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.Find all real numbers $x$ such that $3x - 7 \le 5x +9$. Give your answer as an interval.

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The length of the subway is 850 miles. If .15 inch represents 45 miles, what is the length of the subway on the map?

Scilla [17]

Answer:

The length of the subway on the map is $2.83\ inches$

Step-by-step explanation:

we know that

The scale on the map is equal to the length of the subway on the map divided by the length of the subway in the actual

Let

z------> the scale on the map

x------> the length of the subway on the map

y------> the length of the subway in the actual

$z=\frac{x}{y}$

In this problem we have

$z=\frac{0.15}{45}\frac{inches}{miles}$

$y=850\ miles$

substitute and solve for x

$\frac{0.15}{45}=\frac{x}{850}$

$x=850*\frac{0.15}{45}=2.83\ inches$

6 0

4 years ago

Read 2 more answers

How can you decompose the composite??

zhannawk [14.2K]

Answer:

as a semicircle, a hexagon, and a rectangle

Step-by-step explanation:

The first attachment shows the decomposition according to the answer choice above. It would make area computation about as simple as it could be.

The second attachment shows a decomposition with a circle. It leaves a very odd shape in the middle that is not easily divided into triangles, rectangles, or trapezoids.

The third attachment shows a semicircle, a pentagon, and two triangles. The pentagon is <em>not a regular pentagon</em>, so might require further decomposition in order to determine its area.