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3 years ago

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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It is estimated that 26% of the population of Gingerland have red hair. If 10 residents are chosen at random, what is the probab

sveticcg [70]

Answer:

The answer for me would be a) exactly 4 of them have red hair

Step-by-step explanation:

being that there is 26 percent of people in Gingerland that gave red hair I cam assume that that is a lot of people being that Gingelrand is like a city/town so exactly 4 of them is what I assume is the amswer

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3 years ago

What is the measure of angle c?

nikitadnepr [17]

Answer:

c = 127°

Step-by-step explanation:

∡c and ∡a are supplementary angles.

Supplementary angles sum 180°

∡a = 53°

Then:

53° + c = 180°

c = 180° - 53°

c = 127°

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1 year ago

Plz help me hurry plz<br> Direct variation

Furkat [3]

Answer:

sorry I need some point

Step-by-step explanation:

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3 years ago

−t=9(t−10) what is t

Luda [366]

Answer:

t = 9

Step-by-step explanation:

First, distribute the 9.

Next, add subtract 9t from both sides.

Divide both sides by -10. When you divide a negative by another negative, they cancel each other out.

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3 years ago

Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to John: infection occurs in 4

Kryger [21]

Answer:

The probability of not having an infection and the surgery being a success is 0.8478.

Step-by-step explanation:

Hello!

There are several possible outcomes facing surgery to repair a torn tendon:

"Infection" ⇒ P(In)= 0.04

"Repair fail" ⇒ P(F)= 0.12

"both infection and failure" ⇒ P(In∩F)= 0.0078

P(NIn∩S)=?

Where NIn represents "no infection" and S represents "successful surgery"

The event "no infection" is complementary to the event "infection" and so is it's probability P(NIn)= 1 - P(In)= 1 - 0.04= 0.96

The event "successful surgery" is complementary to the event "Repair fail" and so is it's probability: P(S)= 1 - P(F)= 1 - 0.12= 0.88

"Repair fail" ; "successful surgery"; Total

"Infection" : P(In∩F) ; P(In∩S) ; P(In)

"no infection" : P(NIn∩F) ; P(NIn∩S) ; P(NIn)

P(F) ; P(S) ; 1

P(F) = P(In∩F) + P(NIn∩F)

P(NIn∩F) = P(F) - P(In∩F) = 0.12 - 0.0078= 0.1122

P(NIn∩S)= P(NIn) - P(NIn∩F) = 0.96-0.1122= 0.8478

The probability of not having an infection and the surgery being a success is 0.8478.

I hope it helps!

7 0

3 years ago