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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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Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random variable , whose possible values
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For a probability distribution to be represented, it is needed that P(X = 0) + P(X = 1) = 0.44. Hence one possible example is:

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<h3>What is needed for a discrete random variable to represent a probability distribution?</h3>

The sum of all the probabilities must be of 1, hence:

P(X = 0) + P(X = 1) + P(X = 3) + P(X = 4) + P(X = 5) = 1.

Then, considering the table:

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Hence one possible example is:

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  • P(X = 1) = 0.04.

More can be learned about probability distributions at brainly.com/question/24802582

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