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Mathematics 9 Online
OpenStudy (anonymous):

@Directrix i need help a lot. Can you explain how to work this out?

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))

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?

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

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

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.

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

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