G(x) = x2 + 8x +12 over x² – 2x-8
1 answer:
Answer:
The domain of the function in interval notation is -∞ < x < -2, -2 < x < 4, x > 4
Step-by-step explanation:
The given function is presented as follows;
The function given in rational format will not be defined when the value of the denominator = 0
Therefore, for the function to be undefined, we have;
x² - 2·x - 8 = 0
(x - 4)·(x + 2) = 0
Which gives;
x = 4, or x = -2
Therefore, the function is undefined for x = 4 and x = -2
The domain of the function in interval notation = -∞ < x < -2, -2 < x < 4, x > 4
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Given:
Number of red marbles = 4
Number of blue marbles = 8
Number of yellow marbles = 6
Number of green marbles = 2
To find:
The probability of getting a blue marble then a red marble, i.e., P(blue, red).
Solution:
Using the given information,
The total number of marbles = 4+8+6+2
= 20
Probability of getting a blue marble in first draw is
Maria selects a marble, puts it back and then selects a second marble. It means the total number of marbles remains the same.
Now, the probability of getting a blue marble then a red marble is
Therefore, the required probability P(blue, red) is .