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Charra [1.4K]
3 years ago
8

If f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

         = 2(x-3/x) + 1

         = 2x -6 /x +1

         = 2x-6 +x/x

         = 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

            = 3x-6/x + 3

            = 3x-6+3x/x

            = 6x-6/x  

So, Option B is correct.

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Charles needed 3/4 cups of rasins. if he has a 1/4 measuring cup, how many times will he need to fi'll it up to get to the right
koban [17]
3 times because if he needs 3/4 cup the. you should use it 3 times. (3/4÷1/4=3)
7 0
3 years ago
A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.
Butoxors [25]

Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

<u>Using a Venn diagram analogy</u> :

  • Total number of client, U = 108
  • Piano, P = 42
  • Guitar, G = 51
  • Piano and Guitar, (PnG) = 13
  • None =?

<u>From the information given</u> :

  • P only = 42 - 13 = 29
  • G only = 51 - 13 = 38

<u>The total number of clients can be related thus</u> :

  • Total = P only + G only + PnG + None

108 = 29 + 38 + 13 + None

108 = 80 + None

None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

Learn more :brainly.com/question/12570490

7 0
2 years ago
At the We-Pack Shipping, the workers can unload 28 trucks in 7 hours. Which of the following is a correct unit rate for this sit
boyakko [2]

Answer:

4 trucks per hour

Step-by-step explanation:

You would do the trucks over the hours to get the ratio so, 28:7 is equal to 4:1 because 28/7 = 4

5 0
3 years ago
Read 2 more answers
What is 5/7*w=40 1/2
sukhopar [10]

Answer:

56 7/10

Step-by-step explanation:

convert 40 1/2 to a fraction 40 1/2 = 81/2

multiply both sides by  7/5

this gets w by itself on the left

81/2 x 7/5 = 567/10 = 56 7/10

7 0
3 years ago
Factor each expression 30+10x-40y
Sergio039 [100]
Hello!

To factor you find the biggest number they can be divided by

The biggest number that all the number can be divided by is 10

You put that outside parenthesis

10()

Divide the expression by 10

3 + x - 4y

Put the two together

10(3 + x + 4y)

Hope this helps!
4 0
3 years ago
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