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 2 years ago
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
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.

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

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

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

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

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

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0hmm  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

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

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0I'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
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