Mathematics
8 Online
OpenStudy (anonymous):
Use the graphs of f(x) and g(x) given below to estimate:
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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
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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
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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
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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
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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
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jimthompson5910 (jim_thompson5910):
this is what I get for g(3)
OpenStudy (anonymous):
ohh, right...I keep looking at the wrong function..