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Mathematics 8 Online
OpenStudy (anonymous):

Use the graphs of f(x) and g(x) given below to estimate:

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

what is g(-1) equal to?

OpenStudy (anonymous):

-1,0

jimthompson5910 (jim_thompson5910):

the point (-1,0) lies on g(x), yep

jimthompson5910 (jim_thompson5910):

so g(-1) = 0

jimthompson5910 (jim_thompson5910):

so when we say f( g(-1) ) we really mean f( 0 ) notice how I replaced "g(-1)" with "0"

OpenStudy (anonymous):

ohhh, okay. so the answer for f(g(-1)) is simply 0?

jimthompson5910 (jim_thompson5910):

no, I'm saying f(g(-1)) = f(0)

jimthompson5910 (jim_thompson5910):

you now need to find f(0)

OpenStudy (anonymous):

0,3

jimthompson5910 (jim_thompson5910):

that looks about right

jimthompson5910 (jim_thompson5910):

it's hard to say 100% exactly

jimthompson5910 (jim_thompson5910):

but let's go with it, so f(g(-1)) = 3

OpenStudy (anonymous):

and that would be the final answer?

jimthompson5910 (jim_thompson5910):

for that part, yes

OpenStudy (anonymous):

ok now for the second part to see if I understand it. say f(g(3))=f(-2)

jimthompson5910 (jim_thompson5910):

g(3) = -2 ?

OpenStudy (anonymous):

and the points for f(-2) is -2,1. So f(g(3))= 1?

jimthompson5910 (jim_thompson5910):

I think you're looking at the wrong curve

OpenStudy (anonymous):

woops. I am/ thanks for catching that

OpenStudy (anonymous):

Im gonna estimate it to 3,4

OpenStudy (anonymous):

and f(4) is 4,5

jimthompson5910 (jim_thompson5910):

g(3) = -4 or around there

jimthompson5910 (jim_thompson5910):

so f(g(3)) = f(-4) = ??

OpenStudy (anonymous):

its a little bit above 2 so, I would say 3

jimthompson5910 (jim_thompson5910):

this is what I get for g(3)

OpenStudy (anonymous):

ohh, right...I keep looking at the wrong function..

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