Answer:
The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)
Step-by-step explanation:
We have the following expression
Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.
Now we search that values of x make 0 the denominator factoring the polynomial
We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.
These numbers are -2 and 1
Then the factors are:
We do the same with the numerator
We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.
These numbers are 3 and 1
Then the factors are:
Therefore
Note that only if
So since is not included in the domain the function has a discontinuity in
47.0.7
48.0.49
49.0.29
not 100% sure but hope this helps
Answer:
help me
Step-by-step explanation:
Answer: a) 4, b) 13 and c) 17
Step-by-step explanation:
Since we have given that
Number of elements in A = 9
Number of elements in B = 4
a) What is the largest possible value for A∩B.
Since B has only 4 elements.
So, As largest possible, it can be B⊆A.
So, Largest possible value for A∩B = 4
(b) What is the largest possible value for AUB?
If suppose A∩B = Ф
n(A∩B) = 0
So, it becomes,
So, the largest possible value for A∪B = 13
(c) What is the value of AU B+A∩B?
|A∪B|+|A∩B|=13+4=17
Hence, a) 4, b) 13 and c) 17
Answer:
5.5
4*5.5=22-5=17
Step-by-step explanation: