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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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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

6 0
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°

7 0
1 year ago
Plz help me hurry plz<br> Direct variation
Furkat [3]

Answer:

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Step-by-step explanation:

7 0
3 years ago
−t=9(t−10) what is t
Luda [366]

Answer:

t = 9

Step-by-step explanation:

<em>-t = 9(t - 10)</em>

First, distribute the 9.

<em>-t = 9t - 90</em>

Next, add subtract 9t from both sides.

<em>(-t) - 9t = (9t - 90) - 9t</em>

<em>-10t = -90</em>

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

<em>(-10t)/-10 = (-90)/(-10)</em>

<em>t = 9</em>

7 0
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
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