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 
Answer:
23
Step-by-step explanation:
Answer:
5000
Step-by-step explanation:
if its 5 or more round up. If it's 4 or less round down
Answer:
$6725
Step-by-step explanation:
Given data
Princiapal= $5000
Rate=2.3%
Time= 15years
The function that will model this situation is given as
A=P(1+rt)
The above function is a simple interest function
Substitute our data we can find the amount A
A=5000(1+0.023*15)
A= 5000(1+0.345)
A=5000(1.345)
A=5000*1.345
A=$6725
Hence the value of the investment after 15 years is $6725
Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0