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GaryK [48]
3 years ago
11

I will mark you brainlist if you helppp me pls and thankyouuu

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

1 option is correct nd your answer is also correct

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If g(x) is the inverse of f(x), what is the value of f(g(2))?
Elan Coil [88]

Answer:

2

Step-by-step explanation:

So to figure this out we just need to flip the values of x and y in the table and then redefine that as the function g(x), because an inverse is essentially the reverse!

So if we flipped x and y's for f(x). We would see that our output or y of g(x) is -3 when x = 2, or in other words g(2) = -3. This means that we are now going to solve for when f(-3). So now lets look at the table and find the value at x = -3 for f(x). This value is 2, so the value of f(g(2)) = 2.

*In the future*

When you have a composite function of two inverses they essentially cancel out and would leave whatever the value of x is. So if we know f(x) and g(x) were inverses the value of f(g(2)) would just be 2.

For example:

ln(x) and e^x are inverses so if I had a composition like this:

e^{ln(2)}

The answer to this would be 2 because these inverse functions "'cancel" out

So

e^{ln2} = 2

8 0
3 years ago
Read 2 more answers
3y-3.5/3y+6=17/25.5. find the value of y. give the scale factor of the polygon
Mekhanik [1.2K]

Hi the answer to your question is

 

((3y - 3.5) / (3y + 6)) * 25.5 = (17 / 25.5) * 25.5

((3y - 3.5) / (3y + 6)) * 25.5 = 17 (76.5y - 89.25) / (3y + 6) = 17

((76.5y - 89.25) / (3y + 6)) * (3y + 6) = 17 * (3y + 6) 76.5y - 89.25 = 51y + 102 76.5y - 51y = 102 + 89.25

25.5y = 191.25

y = 191.25 / 25.5

<span>y = 7.5</span>

3 0
3 years ago
For the following exercises, evaluate the function f at the values f(−2), f(−1), f(0), f(1), and f(2)
MatroZZZ [7]

Answer:

See below.  <u><em>I assume that (x) = 8x2 - 7x + 3 is really (x) = 8x^2 - 7x + 3</em></u>

Step-by-step explanation:

Substitute the value of x given in f(x) into the equation f(x) = 8x^2 - 7x + 3

For example, f(0) would be f(0) = 8(0)^2 - 7(0) + 3.  f(0) = 3

f(-2) would be f(-2) = 8(-2)^2 - 7(-2) + 3.  

                                =   8*4  + 14 +3

                                = 32 + 17        therefore      f(-2) = 49

<u>x</u> <u>f(x)</u>

-2 49

-1 18

0 3

1 4

2 21

4 0
2 years ago
A section of road covers 18.3 square feet. Each square foot will require 5.1 minutes to repair. How many total minutes will it t
geniusboy [140]

All you have to do is multiply 18.3 x 5.1

18.3×5.1=93.33

It will take 93.33 minutes to repair the entire section. Hope that helps!

8 0
3 years ago
Read 2 more answers
You are installing a new pre-constructed fence in front of your house. each fence section measures 4 ½ feet wide, and each end w
irga5000 [103]
Since, each side of the fence should have the 1 3/4 feet wide decorative piece, the width of the fence should be subtracted by 2 pieces (1 3/4 feet)
                                 = 26.5 feet
Then, divide the remaining width by 4.5 feet and the answer is 5.88. Thus, approximately 5 pieces of the 4 1/2 feet should be installed. 
4 0
3 years ago
Read 2 more answers
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