If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by

(A) the union of Df and Dg
(B) the intersection of Df and Dg
(C) the intersection of Df and Dg without the zeros of function g
(D) None of the above

Question

If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by 

(A) the union of Df and Dg 
(B) the intersection of Df and Dg 
(C) the intersection of Df and Dg without the zeros of function g 
(D) None of the above

e.cociuba · Answer

Im going w/ C.) is tht correct?

jim_thompson5910 · Answer

yes it is

think of it like this

jim_thompson5910 · Answer

if it was a union of the two sets, then you could plug in a value that would be in Df, but may not be in Dg

the domain of f/g must be $\large Df \cap Dg$ to make sure that any x value you plug in is acceptable for both functions

also you can't divide by zero, so that's why you had to make sure g is nonzero

e.cociuba · Answer

kk Thanks I appreciate it :))

jim_thompson5910 · Answer

np

anonymous · Answer

ahh bro @jim_thompson5910 is THE BEST :)

e.cociuba · Answer

Haha ya he is lol :)