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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.
 one year ago
 one year 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.
 one year ago
 one year ago

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cwrw238Best ResponseYou've already chosen the best response.0
I've done this stuff before but cant remember this bit.
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
hi. i think i can help. consider the intersection of the two domains
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
what is the intersection of the two domains?
 one year ago

cwrw238Best 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)
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
the domain is the null set. and thus, it has not range either
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
does that make sense to you?
 one year ago

cwrw238Best 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
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
sure, the product, quotient and sums of two functions need to have intersecting domains
 one year ago

hsmtBest ResponseYou've already chosen the best response.0
otherwise the function is not defined. I hope that helps. Take care.
 one year ago

cwrw238Best 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
 one year ago
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