Mathematics
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OpenStudy (anonymous):
@Directrix i need help a lot. Can you explain how to work this out?
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OpenStudy (anonymous):
let f(x) = x^2 +7
OpenStudy (anonymous):
and g(x) = (x+3)/x
OpenStudy (anonymous):
find (G o F) (-5)
OpenStudy (anonymous):
Can you help me work through this?
jimthompson5910 (jim_thompson5910):
(G o F) (-5) is the same as g(f(-5))
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jimthompson5910 (jim_thompson5910):
you need to find f(-5) first
OpenStudy (anonymous):
ok.
OpenStudy (anonymous):
32
jimthompson5910 (jim_thompson5910):
you start from the inside and work your way outside
OpenStudy (anonymous):
Right?
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jimthompson5910 (jim_thompson5910):
yes, f(-5) = 32
jimthompson5910 (jim_thompson5910):
g(f(-5)) = g(32)
OpenStudy (anonymous):
ok now? would I plug that into g?
jimthompson5910 (jim_thompson5910):
notice how I replaced f(-5) with 32 since the two are equal
jimthompson5910 (jim_thompson5910):
yeah
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jimthompson5910 (jim_thompson5910):
since g(f(-5)) = g(32)
OpenStudy (anonymous):
so the answer would be, 35/33?
jimthompson5910 (jim_thompson5910):
not 33
OpenStudy (anonymous):
32*
jimthompson5910 (jim_thompson5910):
yes 35/32
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OpenStudy (anonymous):
I typed it wrong sorry
OpenStudy (anonymous):
Thank you I totally get it now.
jimthompson5910 (jim_thompson5910):
I'm glad it's clicking
OpenStudy (anonymous):
So just make it g(f(x)) and work out?
OpenStudy (anonymous):
I knew this at one point but it's been awhile.
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jimthompson5910 (jim_thompson5910):
yes that is correct. I think once you get it to g(f(x)), then it shouldn't be too bad
OpenStudy (anonymous):
Ok, awesome. I gave you a medal thank you for the help!
jimthompson5910 (jim_thompson5910):
sure thing