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Darina [25.2K]
3 years ago
8

Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = 7/sqrt 8x +10

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0
Assuming you meant

y =  \frac{7}{ \sqrt{8x+10} }

Then you can compose the function g(x)

g(x)= \sqrt{8x+10}

With the function

f(x)= \frac{7}{x}


Because f (g(x) ) means that you first find (calculte)     \sqrt{8x+10}       and second you divide 7 by g(x) to obtain 7 / [√(8x+10) ].
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If a person flips a coin and then rolls a six dash sided die​, describe the sample space of possible outcomes using Upper H comm
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Answer:

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

Step-by-step explanation:

If a person flips a coin; the possible outcomes of flipping a coin are { Head (H), Tail (T) }

If a person rolls a six dash side die, the possible outcomes of rolling a dice are { 1, 2, 3, 4, 5, 6 }

Now, If a person flips a coin and then rolls a six dash side die;

The Sample Space (S) which is the set of all the possible outcomes of the activities carried out can be described as follows:

DIE                               COIN  →

↓                                      

                                        H                               T          

1                                      (1,H)                             (1,T)

2                                    (2,H)                             (2,T)

3                                    (3,H)                             (3,T)

4                                    (4,H)                             (4,T)

5                                    (5,H)                             (5,T)

6                                    (6,H)                             (6,T)

Sample Space (S) = { (1,H), (1,T), (2,H), (2,T), (3,H), (3,T), (4,H), (4,T), (5,H), (5,T), (6,H), (6,T) }  

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