and answer the following questions:
- Determine the interval(s) where the function f(x) is increasing. Decreasing.
- Determine the relative minimum and maximum values of the function.
- Determine all the intercepts.
- Determine whether f(x) is an odd function, an even function, or neither.
- Find an equation for the circle passing through the point B centered at A.
- Is point C inside or outside of this circle? Prove your answer.
and let 
.
- What is the domain of each function?
- If the domain of both functions is restricted to
, does f(x) become invertible? Does g(x) become invertible? - What is the domain of
?
Find the domain of the expression and simplify the expression completely.