The domain of the function is possible values of independant varaible such that function is defined or have real values.
So the expression

is not defined for x = -6 and for x = 1, as expression becomes undefined for this values of x (Denominator becomes 0).
So answer is,

Option B is correct.
Answer:
timetaken to produce a playdough =4hours
a batch of playdough is produced in =1/6 hour
in 1hour,it will take 6 multiplied by a batch of playdough=6 batches of playdough to be produced
4 hours of making playdough in a day will produce=4 multiplied by 6 batches of playdough=24 batches of playdough in a day
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
Answer:
$60.00
Step-by-step explanation:
First person:
$4.50
Second person:
3 times $4.50 = $13.50
Total of first two people:
$4.50 + $13.50 = $18.00
Third person:
$78.00 - $18.00 = $60.00
The third person pays $60.00