SOLUTION: Let f = {(-3,2),(0,-1),(4,0)} and g = {(-3,-4),(3,-3),(4,2),(5,4)}. Find g/f and state its domain.

Algebra ->  Functions -> SOLUTION: Let f = {(-3,2),(0,-1),(4,0)} and g = {(-3,-4),(3,-3),(4,2),(5,4)}. Find g/f and state its domain.      Log On


   



Question 1026932: Let f = {(-3,2),(0,-1),(4,0)} and g = {(-3,-4),(3,-3),(4,2),(5,4)}. Find g/f and state its domain.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The domain of f is the set {-3, 0, 4} and the domain of g is {-3, 3, 4, 5}.
The domain of g/f is the set of all common values from the two domains excluding those that will make f equal to 0.
==> possible candidates for domain elements of g/f are -3 and 4.
Now %28g%2Ff%29%28-3%29+=+-4%2F2+=+-2 and %28g%2Ff%29%284%29+=+2%2F0 = undefined.
==> Domain of g/f is the set {-3}, and g/f = {(-3,-2)}.