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Vesna [10]
3 years ago
6

Which function has an inverse that is also a function?

Mathematics
2 answers:
leva [86]3 years ago
4 0

<h2>Option C has an inverse that is also a function</h2>

{ ( -1 , 3 ) , ( 0,4 ), ( 1 , 14 ) , ( 5, 6 ) , ( 7, 2 )}

<h3>Further explanation</h3>

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

  • <em>Linear Function → f(x) = ax + b</em>
  • <em>Quadratic Function → f(x) = ax² + bx + c</em>
  • <em>Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x</em>
  • <em>Logarithmic function → f(x) = ln x</em>
  • <em>Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...</em>

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

According to the definition above, it can be concluded that a function cannot have the same x value.

Of the four tables available in choices, table option C has an inverse that is also a function. This is because x values and y values are all different.

\{(-1,3) , ( 0,4} ) , ( 1,14 ) , ( 5, 6) , ( 7, 2) \}

Option A doesn't have inverse because there is the same value of y i.e 4

\{(-1,-2) , ( 0,\boxed{4} ) , ( 1,3 ) , ( 5, 14) , ( 7, \boxed {4}) \}

Option B doesn't have inverse because there is the same value of y i.e 4

\{(-1,-2) , ( 0,\boxed{4} ) , ( 1,5 ) , ( 5, \boxed {4}) , ( 7, 2) \}

Option D doesn't have inverse because there is the same value of y i.e 4

\{(-1,\boxed {4}) , ( 0,\boxed{4} ) , ( 1,2 ) , ( 5, 3) , ( 7, 1) \}

<h3>Learn more</h3>
  • Inverse of Function : brainly.com/question/9289171
  • Rate of Change : brainly.com/question/11919986
  • Graph of Function : brainly.com/question/7829758

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic

Yakvenalex [24]3 years ago
3 0
The inverse of a function will also be a function if it is a One-to-One function. This means, if each y value is paired with exactly one x value then the inverse of a function will also be a function.

Option C gives us such a function, all x values are different and all y values are different. So inverse of function given in option C will result in a relation which will also be a function.

In all other options, y values are being repeated, which means they are not one to one functions.

So, the answer to this question is option C
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\frac{1}{2}

Step-by-step explanation:

slope :

slope \:  =  \:  \frac{y2 - y1}{x2 - x1}  =  \frac{8 - 14}{ - 16 -  - 4}  =  \frac{ - 6}{ - 12}  =  \frac{1}{2} = 0.5

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PLEASE HELP!!!
Paladinen [302]

Answer:

d (w) = 0.1w² – w+ 5

Step-by-step explanation:

d(w) = c(w) - a(w)

= -0.3w²+2w+13 -(-0.4w²+3w+8)

= -0.3w²+0.4w²+2w-3w+13-8

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3 years ago
You have 4/5 cup of brown sugar in your cupboard. the recipe for a dessert calls for 1/4 cup of brown sugar. how much brown suga
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Answer:


Step-by-step explanation:

4/5 cup of brown sugar. Needs 1/4 cup. How many cups left?

Okay, so 4/5 = 0.80, 1/4=0.25.

0.80-0.25=0.55

Which is 55/100

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7 0
3 years ago
a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the
Alona [7]
  1. the probability that a person has the virus given that they have tested positive is  0.0151.
  2. the probability that a person does not have the virus given that they have tested negative is  0.9999

P(A) = 1/600 = 0.0017

P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014

A) P (has the virus | tested positive) = P (tested positive | has the virus) ×  

                                                          P (has the virus)/ P (tested positive)

                                                         = 0.9 × 0.0017/0.1014  

                                                         = 0.0151

B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)

= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)  

= 0.9999

Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.  

A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).

To learn more about Probability visit here:

brainly.com/question/11234923

#SPJ4

6 0
1 year ago
Copy and complete the table.
suter [353]

Answer:

See pic below.

Step-by-step explanation:

6 0
3 years ago
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