Answer:
the answer is x=6 or x=-16
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:
D
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
In general, when you compose a function with its inverse , you always get the identity function:
The limitation is necessary because the arcsin function wouldn't be defined otherwise.
Answer:
A: initial value: $750; rare of change: $60
B: y = 60t + 750
Step-by-step explanation:
Initial value = value when he started ( in 2000) =$ 750
Each year he add a constants to that value
'y' will be the amount he get after t years a amount increase each year
y = 750 + at
In 2010 his free = 1350
t = 2010 - 2000 = 10 year
y = 1350
y = 750 + at
1350 = 750 + 10 a
600 = 10a
a = 60
y = 750 + 60t ( his fee as a function of time)
In slope form: y = 60t + 750
He increases he fee by $60 a year.