Mathematics
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OpenStudy (anonymous):
Given f(x) = 3x + 7, and g(x) = x − 1 ƒ(g(5)) =3x+32 right?
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jimthompson5910 (jim_thompson5910):
f(g(5)) should be a constant number
jimthompson5910 (jim_thompson5910):
ie there shouldn't be any variables in the answer
jimthompson5910 (jim_thompson5910):
what is the value of g(5)
OpenStudy (anonymous):
19 dear :)
jimthompson5910 (jim_thompson5910):
pengembara_bumi1 you're not helping anyone by just giving out answers
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OpenStudy (anonymous):
is it 62?
jimthompson5910 (jim_thompson5910):
g(x) = x − 1
g(5) = 5 − 1 ... replace every x with 5
g(5) = ???
OpenStudy (anonymous):
4
jimthompson5910 (jim_thompson5910):
now that we know that g(5) = 4, we can use this to find f(g(5))
OpenStudy (anonymous):
22 for f?
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jimthompson5910 (jim_thompson5910):
f(x) = 3x + 7
f(g(x)) = 3( g(x) ) + 7 ... replace every x with g(x)
f(g(5)) = 3( g(5) ) + 7 ... replace every x with 5
f(g(5)) = 3( 4 ) + 7 ... replace g(5) with 4 (since we just found that g(5) = 4)
f(g(5)) = 12 + 7
f(g(5)) = 19
OpenStudy (anonymous):
fg(x)=? when x=5
g(5)=5-1
g(5)=4
f(4)=3(4)+7
fg(5)=19
jimthompson5910 (jim_thompson5910):
hopefully all that makes sense
OpenStudy (anonymous):
sorry @jim_thompson5910 :(
jimthompson5910 (jim_thompson5910):
its fine, just keep it in mind
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OpenStudy (anonymous):
thank you!!! both of you!!!!
jimthompson5910 (jim_thompson5910):
you're welcome