Mathematics
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OpenStudy (anonymous):
@ilfy214
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OpenStudy (anonymous):
OpenStudy (anonymous):
Hey! I'm back... anyways lets do this
OpenStudy (anonymous):
\[f(x) = -4x + 3\]
\[g(x) = \frac{ 1 }{ x+2 }\]
\[g(f(x)) = \frac{ 1 }{ (-4+3) +2}\]
OpenStudy (anonymous):
so what do i do for part 2 @ilfy214
OpenStudy (anonymous):
can someone help me finish this
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OpenStudy (anonymous):
@Directrix @dumbcow @ivettef365
Directrix (directrix):
We're looking for g(f(x)) rather than f(g(x)).
OpenStudy (anonymous):
is that the first part
OpenStudy (anonymous):
huh?
Directrix (directrix):
Composition of functions is not commutative.
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OpenStudy (anonymous):
so are we doing the first part
OpenStudy (anonymous):
im confused what do i need to do for the first part
OpenStudy (ivettef365):
@divagirl421 I did it wrong, this is the right way
f(x) = -4x + 3
g(x) = 1 / x+2
g(f(x)) = 1
--------
-4x+3 +2
OpenStudy (ivettef365):
which is equal to 1
-----------
-4x +5
OpenStudy (ivettef365):
you need to substitute the x for (-4x + 3) on function g(x)
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OpenStudy (ivettef365):
now the domain is -4x + 5 = 0
-4x = -5
x = 5/4
so the domain is all real numbers except 5/4
OpenStudy (ivettef365):
do you understand ?
OpenStudy (anonymous):
can you tell me what is part 1 and 2
OpenStudy (ivettef365):
Part 1: Evaluate g(f(x))
that is 1
g(f(x))= -----------
-4x + 5
OpenStudy (ivettef365):
Part 2: Determine the domain
-4x + 5 = 0
-4x = -5
x = 5/4
domain are all real numbers except 5/4
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OpenStudy (anonymous):
ooo ok i understand
OpenStudy (ivettef365):
on part 1 need to show you work, so you can show this first
f(x) = -4x + 3
g(x) = 1 / x+2
g(f(x)) = 1
--------
-4x+3 +2
OpenStudy (anonymous):
thank you:)
OpenStudy (ivettef365):
yw :)
OpenStudy (anonymous):
Back! But you've got it now! :)