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amm1812
2 years ago
15

MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2

to
determine if f(x) and g(x) are inverses of each other
Mathematics
2 answers:
Naddika [18.5K]2 years ago
8 0

Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).

We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:

g(11) = (11-5)/2 = 3. It works.

We have proven that f(x) and g(x) are the inverses of each other.

Sonja [21]2 years ago
4 0

Answer:

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2

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7 0
3 years ago
Eighty-five more than the square of a number is the same as the square of the quantity that is 17 less than the number. What is
mario62 [17]
We can turn this word problem into the following equation:
x^2 + 85 = (x - 17)^2
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_______________________
      x^2 = x^2 - 34x + 204                    
     +34x         +34x
_______________________
 x^2 + 34x = x^2 + 204
-x^2             -x^2
____________________
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5 0
3 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 4% sugar. The portion of Beverage B that is sugar is 0.21. H
V125BC [204]

Answer:

5.25 times

Step-by-step explanation:

Beverage A and Beverage B are sold in identical cans.

From the above question

Beverage A is 4% sugar.

The portion of Beverage B that is sugar is 0.21.

Converting Portion of sugar in Beverage B to percentage we have :

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= 21%

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This is calculated as:

% Beverage B/% Beverage A

= 21%/4%

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Hence Beverage B has 5.25 times more sugar than Beverage A.

4 0
3 years ago
G(x) = 2x + 9<br> g( )= 15
Eva8 [605]

If g(x)=15, x=...

g(x)=15

2x+9=15

x=3

answer: 3

4 0
3 years ago
Read 2 more answers
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