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cwrw238
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I'm helping my nephew with a function question and i'm stuck on one part  I should know this really.
f(x) = x^2  19, domain = (INF, 0)
g(x) = 1 (1/2) x, domain = (6, INF).
Find range of f and g which i found to be
(19, INF) and (INF, 2).
Find fg  which I got to be (1  (1/2)x)^2  19.
Write down the domain and range of fg.
 i'm a bit confused about this part.
 2 years ago
 2 years ago
cwrw238 Group Title
I'm helping my nephew with a function question and i'm stuck on one part  I should know this really. f(x) = x^2  19, domain = (INF, 0) g(x) = 1 (1/2) x, domain = (6, INF). Find range of f and g which i found to be (19, INF) and (INF, 2). Find fg  which I got to be (1  (1/2)x)^2  19. Write down the domain and range of fg.  i'm a bit confused about this part.
 2 years ago
 2 years ago

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cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
I've done this stuff before but cant remember this bit.
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
hi. i think i can help. consider the intersection of the two domains
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
what is the intersection of the two domains?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
well they dont intersect  which makes me think that the domain is that of g (6, INF)
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
the domain is the null set. and thus, it has not range either
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
it has no* range either
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
does that make sense to you?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
hmm  not sure to be honest  i'm not saying you're wrong  but i'll have to go back to the books thanx for your comments
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
sure, the product, quotient and sums of two functions need to have intersecting domains
 2 years ago

hsmt Group TitleBest ResponseYou've already chosen the best response.0
otherwise the function is not defined. I hope that helps. Take care.
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
I've checked this out  because the domain of 'inner' function is (6.infinity) the composite function must have same domain  they intersect at that range of values hers a rough (lol) drawing
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
dw:1348438040718:dw
 2 years ago
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