Posted by Bonnie on Wednesday, June 17, 2009 at 2:12pm.
Given f(x) = root x2 and g(x) = x7 what is the domain of the quotient function f/g ?

Algebra  Reiny, Wednesday, June 17, 2009 at 3:25pm
do you mean f(x) = √(x2) or f(x) = √x  2 ?
I will assume the first one
so the quotient function is
√(x2)/(x7)
Two things will affect the domain
1. x2 ≥ 0 or x ≥ 2 to be able to take the square root.
2. x  7 cannot be zero, or x cannot be 7, or else we are dividing by zero
so the domain is the set of all real numbers such that x ≥ 2 with x not equal to 7

Algebra  Breanna, Wednesday, June 17, 2009 at 3:43pm
The second one f(x) = ãx  2 and
g(x) = x7
which of the following is the domain of the quotient function ?
a.(infinity,2]
b.(infinity,7) U (7,infinity)
c.[2,7) U (7, infinity)
d.(2, infinity)

Algebra  Bonnie, Wednesday, June 17, 2009 at 4:23pm
Good ? Breanna! I have been tryin to figure this one out for some time! I am going to guess and say D but lets see what everyone else says!
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