Mathematics
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OpenStudy (aizhalee):
ALGEBRA HELP PLEASE
f(x)=3x, g(x) = x-5
My answer
(f•g)(x)= 3(x-5)
3x-15
Am I right ?
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OpenStudy (aizhalee):
@welshfella can you verify for me please if Im doing it right ?
OpenStudy (aizhalee):
@Mehek14
TheSmartOne (thesmartone):
hi
OpenStudy (aizhalee):
hello :) thank you stopping by to help
OpenStudy (aizhalee):
so that means [(3x)][(x-5)]
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TheSmartOne (thesmartone):
my bad, you're correct :)
OpenStudy (aizhalee):
so my answer is correct? :)
TheSmartOne (thesmartone):
yes :)
TheSmartOne (thesmartone):
( f o g)(x) = f (g(x))
OpenStudy (aizhalee):
Yay ! Thanks a lot
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TheSmartOne (thesmartone):
wait a seconf o.o
TheSmartOne (thesmartone):
second*
OpenStudy (aizhalee):
ok ;o
TheSmartOne (thesmartone):
so we would have to do what I posted earlier :)
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TheSmartOne (thesmartone):
3x(x-5)
Just use the distributive laws
a(b-c) = ab - ac
OpenStudy (aizhalee):
ok
OpenStudy (aizhalee):
can you explain on how that should be done ?
TheSmartOne (thesmartone):
The multiplication for 3x(x-5)
?
OpenStudy (aizhalee):
3x - 15?
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TheSmartOne (thesmartone):
no, the x here are not multiplication
(3x)(x-5) = (3x)(x) - (3x)(5) = ?
OpenStudy (aizhalee):
I know 3x * 5 = 15x . (3x)(x) = 3x
TheSmartOne (thesmartone):
(3x)(x) = 3x^2
OpenStudy (aizhalee):
Yess thank you .
TheSmartOne (thesmartone):
x = x^1
(x)(x) = (x^1)(x^1) = x^{1+1} = x^2
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OpenStudy (aizhalee):
so to the 2nd power ?
TheSmartOne (thesmartone):
Yup
TheSmartOne (thesmartone):
Your final answer is
3x^2 - 15x
OpenStudy (aizhalee):
wow ! Ok Thank you so much for explaining I will be adding these to my notes
TheSmartOne (thesmartone):
Anytime! :)