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OpenStudy (anonymous):
if f(x) = x − 4 and g(x) = 1/2 x − 2, find f[g(−6)].
9
3
−9
−3
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jimthompson5910 (jim_thompson5910):
are you able to find g(-6) ?
OpenStudy (anonymous):
no i havent been thought thislesson this is th epretest that i was sent for homework
OpenStudy (anonymous):
tought
jimthompson5910 (jim_thompson5910):
g(x) = 1/2 x − 2
g(-6) = (1/2)(-6) − 2 ... replace every x with -6
g(-6) = -6/2 − 2
g(-6) = -3 − 2
g(-6) = ???
OpenStudy (anonymous):
-5?
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jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
so g(-6) = -5
jimthompson5910 (jim_thompson5910):
this means
f[g(−6)]
is the same as
f(-5)
after you replace the "g(-6)" with -5 (they are the same, so you can do this)
jimthompson5910 (jim_thompson5910):
now what is f(-5) ?
OpenStudy (anonymous):
i have no idea honestly
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jimthompson5910 (jim_thompson5910):
we are given f(x) = x − 4
jimthompson5910 (jim_thompson5910):
to find f(-5), we just replace each x with -5 and evaluate
f(x) = x − 4
f(-5) = -5 − 4
f(-5) = ???
OpenStudy (anonymous):
-9
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
that's your final answer because f(-5) = f[g(−6)]
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OpenStudy (anonymous):
i understand it now thank you sooo much!
jimthompson5910 (jim_thompson5910):
you're welcome
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