Mathematics
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OpenStudy (anonymous):
Given f(x)=10x+8 and g(x)=1x+4
then what is f(g(3)) ?
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jimthompson5910 (jim_thompson5910):
first we need the value of `g(3)`
jimthompson5910 (jim_thompson5910):
g(x) = 1x+4
g(3) = 1*3+4 ... replace every x with 3
g(3) = ______ (fill in the blank)
OpenStudy (anonymous):
f(x)=10x+8
and g(x)=1x+4
jimthompson5910 (jim_thompson5910):
yes you already posted that
OpenStudy (anonymous):
id understand
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jimthompson5910 (jim_thompson5910):
g(x) = 1x+4
g(3) = 1*3+4 ... replace every x with 3
g(3) = ______ (fill in the blank, tell me what you get here)
OpenStudy (anonymous):
7
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
so we can replace the `g(3)` with `7` since they are equivalent
jimthompson5910 (jim_thompson5910):
`f(g(3)) ` will turn into `f(7)`
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jimthompson5910 (jim_thompson5910):
to compute f(7), you follow similar steps done to compute g(3)
OpenStudy (anonymous):
alright
OpenStudy (anonymous):
38
jimthompson5910 (jim_thompson5910):
38 is not correct
jimthompson5910 (jim_thompson5910):
you might have plugged in x = 3 by mistake
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OpenStudy (anonymous):
yes
jimthompson5910 (jim_thompson5910):
go back up and see why we're plugging in x = 7 instead
OpenStudy (anonymous):
is it because g(x) was 7
jimthompson5910 (jim_thompson5910):
it's because the output g(3) is equal to 7
OpenStudy (anonymous):
alright
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jimthompson5910 (jim_thompson5910):
anyways, what is the value of f(7) ?
OpenStudy (anonymous):
78
jimthompson5910 (jim_thompson5910):
correct, that is the final answer
OpenStudy (anonymous):
thanks