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Masja [62]
1 year ago
12

What is the equation of the line that is used to show the reflection of a relation and its inverse?

Mathematics
1 answer:
Artyom0805 [142]1 year ago
5 0

The graph and inverse of a function are reflections of each other along the line y = x.

A relation made up of ordered pairs (x, y) has as its inverse the set of all ordered pairs (y, x).

When a point is mirrored over the line y = x, the x- and y-coordinates swap places. Similarly, when a point is mirrored over the line y = -x, the x- and y-coordinates swap places and become negated.

Therefore,

The point (x, y)'s reflection over the line y = x is (y, x).

The point (x, y)'s reflection over the line y = - x is (-y, -x).

Thus, the graph and inverse of a function are reflections of each other along the line y = x.

Learn more about reflections for inverse of a function at

brainly.com/question/14544356

#SPJ4

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The entire graph of the function g is shown in the figure below.
marusya05 [52]

The domain of the function is [-4, 4) and the range of the function is [-5, 2)

<h3>How to determine the domain and the range of the function?</h3>

<u>The domain</u>

As a general rule, it should be noted that the domain of a function is the set of input values or independent values the function can take.

This means that the domain is the set of x values

From the graph, we have the following intervals on the x-axis

x = -4 (closed circle)

x =4 (open circle)

This means that the domain of the function is [-4, 4)

<u>The range</u>

As a general rule, it should be noted that the range of a function is the set of output values or dependent values the function can produce.

This means that the range is the set of y values

From the graph, we have the following intervals on the y-axis

y = -5 (closed circle)

y = 2 (open circle)

This means that the range of the function is [-5, 2)

Read more about domain and range at:

brainly.com/question/10197594

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7 0
2 years ago
Can someone help plz :')
olga_2 [115]

Answer:

c]

Step-by-step explanation:

6 0
3 years ago
Difference between 1 8/10 and 2 2/5
Eva8 [605]
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:

1 8/10   -->   18/10
2 2/5   -->   12/5

Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:

12/5 * 2/2 = 24/10

Now we can set up the equation as:

18/10 - 24/10 = -6/10   -->   -3/5

The answer is negative 3/5.

I hope this helps.
5 0
3 years ago
3
lara31 [8.8K]

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

5 0
3 years ago
M is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
klio [65]

Answer:

The value of m is 1000 for r=5

Step-by-step explanation:

Given that m is proportional to the cube of r

It can be written as:

m \propto\ r^3

When the proportionality symbol is removed a proportionality constant is introduced in the equation.

Let k be the proportionality constant

m = kr^3

Given

r=3,m=216

Putting the values

216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8

The equation will now become

m = 8r^3

Putting r = 5

m = 8(5)^3\\m = 8 * 125\\m = 1000

Hence,

The value of m is 1000 for r=5

7 0
3 years ago
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