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Mathematics 14 Online
OpenStudy (anonymous):

@ilfy214

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

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.

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)

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

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! :)

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