Use the following to answer questions :
f(x) = and g(x) =
-Determine the domain of the quotient of f and g.
A) x $\in$ (-?, -5) $\cup$ (-5, ?)
B) x$\in$ (-?, 2) $\cup$ (2, ?)
C) x $\in$ (-?, -5) $\cup$ (-5, 2) $\cup$ (2, ?)
D) x $\in$ (-?, ?)

Question

Use the following to answer questions :
f(x) =  and g(x) = 
-Determine the domain of the quotient of f and g.
A) x $\in$ (-?, -5) $\cup$ (-5, ?) 
B) x$\in$ (-?, 2) $\cup$ (2, ?) 
C) x $\in$ (-?, -5) $\cup$ (-5, 2) $\cup$ (2, ?) 
D) x $\in$ (-?, ?)

Quizplus · Accepted Answer

The domain of a quotient is the set of all values for which the function is defined and the denominator is not equal to zero. In this case, since both functions have the same domain (-∞, ∞), the quotient will have the same domain. To find where the denominator is not equal to zero, we look for common factors between the two functions. The common factors are:

TB3307_11_TB3307_11_TB3307_11_TB3307_11_TB3307_11_TB3307_11_TB3307_11_TB3307_11

Therefore, the quotient will be undefined wherever g(x) = 0, which occurs at x = -5 and x = 2. Therefore, the domain of the quotient is (-∞, -5) ∪ (-5, 2) ∪ (2, ∞), which is option C.

Use the Following to Answer Questions : F(x) = ∈\in∈ (-?, -5)

Use the Following to Answer Questions :
F(x) = $\in$ (-?, -5)