Answer:
Third Option
Step-by-step explanation:
We know that the function
is defined as
. Since the denominator is
then we know that
when 
We also know that the division by 0 is not defined. Therefore, the limit of
when "x" tends to
is infinite.
The function
is the inverse of
By definition, if we have a function f(x), its domain will be equal to the range of its inverse function
. If
, then 
This also happens for the function 
If when
then when 
Then, the answer is:

Answer:
48
Step-by-step explanation:
We are asked that the value of (4n + 7) will be an integer > 1 and < 200, for how many integer values of n.
So, equating (4n + 7) with 200 we can get the value.
4n + 7 = 200
⇒ 4n = 193
⇒ n = 48.25
Hence, the value of n will be the largest integer less than 48.25.
Therefore, the number of integer values of n will be 48. (Answer)
Answer:
$12.49
Step-by-step explanation:
9.99 divided by .8
Answer:
$32.3
Step-by-step explanation:
First write 30% in the decimal form
30/100 = 0.3
than the equation written in the form
x = 19 + (19 - 0.3× 19)
x = 19 + ( 19 - 5.7)
x = 19 + 13.3
x =$ 32.3
So, Kate will pay $32.3