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S_A_V [24]
3 years ago
5

Find (f • g)(2) f(x)= 6x g(x)= 2x + 2 (f • g)(2)=

Mathematics
1 answer:
brilliants [131]3 years ago
7 0

Answer:

Step-by-step explanation:

Another way to state the composition of functions is, in this case, f(g(2)).  Which means we will evaluate the g function at an x value of 2, then take that solution and sub it into the f function for x.

g(2) = 2(2) + 2 and

g(2) = 6.  Now take that and sub it into f for x:

f(6) = 6(6) and

f(6) = 36

f(g(2)) = 36

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Stacy rolls a pair of six-sided fair dice.
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Answer:

Pr(the sum of the numbers rolled is either a multiple of 3 or an even number)=\frac{2}{3}

Step-by-step explanation:

Let A be the event "sum of numbers is multiple of 3"

and B be the event "sum is an even number".

As our dice has six sides, so the sample space of two dices will be of 36 ordered pairs.

|sample space | = 36

Out of which 11 pairs have the sum multiple of 3 and 18 pairs having sum even.

So Pr(A)= \frac{11}{36}

and Pr(B)= \frac{18}{36}

and Pr(A∩B) = \frac{5}{36}, as 5 pairs are common between A and B.

So now Pr(A or B)= Pr(A∪B)

                            = Pr(A)+Pr(B) - Pr(A∩B)

                            = \frac{11}{36} + \frac{18}{36} - \frac{5}{36}

                            = \frac{24}{36}

                            = \frac{2}{3}

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3 years ago
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Answer:

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Step-by-step explanation:

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My number rounded to the nearest tenth is 3.6. What might my number be? Justify your answer.
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Step-by-step explanation:

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