You are correct! The problems that can arise with a function domain are:
- Denominators that become zero
- Even-degree roots with negative input
- Logarithms with negative or zero input
In this case, you have a denominator, and you don't have roots nor logarithms. This means that your only concern must be the denominator, specifically, it cannot be zero.
And you simply have

So, the domain of this function includes every number except 3.
Answer:

Step-by-step explanation:
One of the rules of logarithms is ...
log(a^b) = b·log(a)
So ...

Answer: A.)
Step-by-step explanation: if you start at 7 and take 8 away your left with a negative
A is correct purple line to 7 and red line to -1
Hope this helps
Given:
y is directly proportional to x.
when 
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,

...(i)
Where, k is the constant of proportionality.
We have,
when
. Substituting these values in (i), we get
Divide both sides by 5.
Substituting
in (i), we get
Therefore, the required equation is
.