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Amanda [17]
4 years ago
14

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

f f(x) and g(x) are inverses of each other.
Mathematics
1 answer:
Verizon [17]4 years ago
6 0
For any point (x, y), that appears in one function, the point (y, x) must appear in the other function. 
<span>For any point (x, y), that DOESN'T appear in one function, the point (y, x) must NOT appear in the other function. </span>
<span>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. </span>

<span>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: </span>
<span>y = 3x - 5 </span>
<span>Now solve for x: </span>
<span>y + 5 = 3x </span>
<span>x = (y + 5) / 3 </span>
<span>Now swap x and y: </span>
<span>y = (x + 5) / 3 </span>
<span>This is the same as g(x). Therefore the functions are inverses of each other.</span>
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Show how you can make a ten to find the sum. 8+5=__10+__=__
klio [65]
8 + 5 = 13
10 + 3 = 13 
i think thats what you asking right

7 0
4 years ago
Read 2 more answers
If m is the midpoint of segment JK, JM equals 7x minus 32, and MK equals 89 minus 4x, what is MK?
KonstantinChe [14]

Step-by-step explanation:

Imagine this segment, given that m is the midpoint of segment JK...

      J________M________K

   JM = 7x-32        MK = 89 - 4x (given)

If m is the midpoint, then JM and MK are the same lengths (equal to each other). We can use that to first find what <em>x</em> is.

7x -32 = 89 - 4x\\

Steps to find x (we have to get x by itself):

7x - 32 + 4x = 89 - 4x  +4x

11x -32 = 89

11x -32 +32 = 89 +32

11x = 121

\frac{11x}{11} = \frac{121}{11}

x=11 (we haven't found the answer yet! we only found x)

Now that we found x, we can find segment MK. Now we know that:

MK = 89 - 4x  

x= 11

Let's plug x into the equation:

MK = 89 - 4(11)\\MK = 89- (44)\\MK = 45

Answer: MK= 45

4 0
3 years ago
7(1 - y) = -3(y-2)<br> What is the answer
Fynjy0 [20]

Answer:

\huge y =  \frac{1}{4}

Step-by-step explanation:

7(1 - y) = -3(y-2)

<u>Expand the terms in the bracket</u>

That's

7 - 7y =  - 3y + 6

<u>Add 3y to both sides of the equation</u>

7 - 7y + 3y = 3y - 3y + 6 \\ 7 - 4y = 6

Subtract 7 from both sides by the equation

7 - 7  - 4y = 6 - 7 \\  - 4y =  - 1

<u>Divide both sides by - 4</u>

\frac{ - 4y}{ - 4}  =  \frac{ - 1}{ - 4}  \\

We have the final answer as

y =  \frac{1}{4}  \\

Hope this helps you

4 0
3 years ago
Sally is now 10 years older than Suki. 5 years ago, the sum of their age was 40. How old are they now?​
Nikitich [7]

Answer:

Sally is 30 and Suki is 20

Step-by-step explanation:

x = Sally's age

y = Suki's age

x = 10 + y

(x - 5) + (y - 5) = 40

x = 30, y = 20

7 0
3 years ago
Read 2 more answers
4 + -6g + 10g + -5 anwser
Olegator [25]

Answer:

4g - 1

Step-by-step explanation:

4 and -5 are numbers

While, -6g and 10g are variables.

Add numbers and variable separately.

4 + -6g + 10g + -5

= 4 - 5 + 10g - 6g

= - 1 + 4g

= 4g - 1

4 0
3 years ago
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