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algol [13]
3 years ago
13

In two or more complete sentences, explain how to use ordered pairs of points in and to determine if and are inverses of each ot

her.
Mathematics
1 answer:
Elodia [21]3 years ago
6 0
For any point (x, y), that appears in one function, the point (y, x) must appear in the other function. 
For any point (x, y), that DOESN'T appear in one function, the point (y, x) must NOT appear in the other function. 
So if you find any point that DOESN'T meet the above rules, you can prove that the functions are NOT inverses of each other. 

But if you want to prove that they ARE inverses of each other, you have to check ALL points in the functions, and there are infinity of them, so that's not practical. Instead, you can write f(x) like this: 
y = 3x - 5 
Now solve for x: 
y + 5 = 3x 
x = (y + 5) / 3 
Now swap x and y: 
y = (x + 5) / 3 
This is the same as g(x). Therefore the functions are inverses of each other. oh
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This should be quite easy to explain. So the first thing you want to do is multiply them. This isn't to hard if you know your times tables. Don't worry about the decimal till the end.

 15.37
×      5
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15.37 times 5 is 76.85

Now on to the decimal. All you need to do is move it two times to the left. You see how it's in between the 5 and 3? The same goes for your answer. So it is 76.85 

I hope this helped!! ^^ I can make this a little more easier to explain if you want me to just in case, ok? 
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What should be the first step to solve the equation?
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Find The Domain Find the Value
laila [671]

1a) The domain is a set of all real numbers not equal to 5

1b) The domain is a set of all real numbers not equal to 4

<h3>What is the domain of the function?</h3>

Domain of a function is the set of all possible input values that make the function defined.

1a) We are given the function;

C(x) = -3²/(x - 5)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 5

1b) The function is; R(x) = 4x/(3x - 12)

The domain will be a set of values that makes the denominator not equal to zero. Thus;

The domain is a set of all real numbers not equal to 4

2a) Function is;

f(x) = (x + 8)/(2x - 1)

f(2) = (2 + 8)/(2(2) - 1)

f(2) = 10/3

f(0) = (0 + 8)/(2(0) - 1)

f(0) = -8

f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)

f(-1/2) = -15/4

2b) Function is;

r(t) = (t² + 8)/(t³ - 25t)

r(3) = (3² + 8)/(3³ - 25(3)) = -17/48

r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7

r(-1) = ((-1)² + 8)/((-1)³ - 25(-1))  = 9/24 = 3/8

Read more about Domain of function  at; brainly.com/question/10197594

#SPJ1

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2 years ago
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