Question 986421: Let f (x) = 1/x + 3
and g(x) = 3x/x + 3
Find f + g, f − g, f g, f/g and their domains.
NOTE: Enter DNE in any unused blanks.
(f + g)/(x) =
Domain:
(−∞, a] ∪ [b, ∞)
(−∞, a) ∪ (a, ∞)
(−∞, ∞)
(−∞, a) ∪ (b, ∞)
(−∞, a) ∪ (a, b) ∪ (b, ∞)
a =
b =
(f − g)/(x) =
Domain:
(−∞, a) ∪ (b, ∞)
(−∞, a) ∪ (a, b) ∪ (b, ∞)
(−∞, a] ∪ [b, ∞)
(−∞, ∞)
(−∞, a) ∪ (a, ∞)
a =
b =
(fg)/(x) =
Domain:
(−∞, a) ∪ (b, ∞)
(−∞, a) ∪ (a, b) ∪ (b, ∞)
(−∞, a] ∪ [b, ∞)
(−∞, ∞)
(−∞, a) ∪ (a, ∞)
a =
b =
f/g(x) =
(Don't forget to simplify)
Domain: [Remember to find the domain before simplifying the function.]
(−∞, a) ∪ (a, b) ∪ (b, ∞)
(−∞, a] ∪ [b, ∞)
(−∞, a) ∪ (b, ∞)
(−∞, a) ∪ (a, ∞)
(−∞, ∞)
a =
b =
Answer by Fombitz(32388)   (Show Source):
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