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djverab [1.8K]
3 years ago
7

The inverse of f(x) is a function. true or false

Mathematics
2 answers:
e-lub [12.9K]3 years ago
6 0
<h2>Answer:</h2>

The statement: The inverse of f(x) is a function is:

                         True Statement.

<h2>Step-by-step explanation:</h2>

The necessary condition that guarantees that a inverse of a function is again a function is:

<em> " The function must be a one-to one function "</em>

Otherwise the inverse may not be a function.

From the given graph of the function we see that the function is a one-to-one function as it passes the horizontal line test i.e. any line passing through the co-domain and parallel to x-axis should intersect the graph atmost once.

      Yes, the inverse of the given function F(x) is again a function.

Svetradugi [14.3K]3 years ago
3 0

Answer:

The answer is True.

Step-by-step explanation:

Since there is only one y for every value  of x and only one x for every value of y, both this graph and it's inverse would both be functions.

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Tell whether the ordered pair is a solution to the equation. Please show how you solved it.
Alina [70]

Answer:

The ordered pair is a solution to the equation

Step-by-step explanation:

Plug the ordered pair into the equation as (x,y):

y = -x + 8

4 = -4 + 8

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Since both sides are equal to each other, then the ordered pair is a solution to the equation.

6 0
2 years ago
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In the triangles shown, ABC is dilated by a scale factor of to form XYZ. Given that mA = 45o and mB = 105o, what is mZ?
kompoz [17]

The value of angle Z is 30 degrees

<h3>How to determine the value of angle Z?</h3>

The given parameters are:

ABC is dilated to form XYZ

This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal

So, we have the following angle equations

A = X

B = Y

C = Z

Also, we have

A + B + C = 180

Substitute C = Z in A + B + C = 180

A + B + Z = 180

Substitute A = 45 and B = 105

So, we have:

45 + 105 + Z = 180

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150 + Z = 180

Subtract 150 from both sides

Z = 30

Hence, the value of angle Z is 30 degrees

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brainly.com/question/25716982

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4 0
1 year ago
The science club at Jersey High School is sponsoring a dance to raise money for their spring project. They will charge $4 per st
Dennis_Churaev [7]

Answer: 195

Step-by-step explanation:

Cost per student = $4

Total number who attended = n

The cost of the total of student who attended will be cost per student multiplied by the total number of students, that is

Total cos = 4n

Since, they are to pay $140 , for publicity, then the total cost becomes

T = 4n - 140

From the last statement

4n - 140 ≥ 640

4n ≥ 640 + 140

4n ≥780

n ≥ 780/4

n ≥ 195

That means at least 195 students must attend if the science club is to earn at least $ 640

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3 years ago
The perimeter of a rectangular playground is 494 yards. The length of the playground is 7 more than twice the width. Find the le
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https://youtu.be/wOH_gVtidns

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Step-by-step explanation:

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36(x squared) but I can’t write subscript on a phone
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