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andrew11 [14]
3 years ago
11

F (x) = x + 3; g(x) = 1/x What is the domain and range of (f • g)

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
8 0
The domain of g alone is {x | x ≠ 0}, and the domain of f is all reals. So the domain of (f ◦ g) is the domain of g {x | x ≠ 0}. (f ◦ g)(x) = 1/x + 3. The range of g(x) = 1/x is actually the same as its domain {y | y ≠ 0}. Adding three, the range of f ◦ g is all reals except for 3, {y | y ≠ 3} The line y = 3 is actually an asymptote (horizontal) to the graph of f ◦ g.
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