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:
=
1
=
−
4
Step-by-step explanation:
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points 
and 
in m:n, then the coordinates of that point are
Point G divide the line segment FH in 8:2. Using section formula, we get
Therefore, the coordinates of point G are (4.8, 4.4).
Consider this option (basic steps are marked).
