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Mathematics 16 Online
OpenStudy (anonymous):

question attached in comments

OpenStudy (anonymous):

OpenStudy (calculusxy):

I think that to evaluate s(r(-4)) you need to first find the answer to the function "r" when r(x) = -2x + 1. Therefore you need to substitute when "x" is in -2x + 1 by putting -4 \(\rightarrow r(-4) = -2(-4) + 1\).

OpenStudy (calculusxy):

Find the answer to -2(-4) + 1.

OpenStudy (anonymous):

oh okay, that makes sense. so, i'd do r(x)=-2(-4) + 1, which equals x = -8, right?

OpenStudy (calculusxy):

-2(-4) + 1 does not equal to -8

OpenStudy (anonymous):

oh wait, i didn't see the 2 was negative. it'd be 9.

OpenStudy (calculusxy):

good. so we know r(-4) = 9. since r(x) is inputted within s(x), where x is in this case, we will replace it with 9. so we will have s(9). \(s(9) = -4(9) - 5\) evaluate that

OpenStudy (anonymous):

i got -41

OpenStudy (calculusxy):

good job. so i think that the answer could be -41.

OpenStudy (anonymous):

it is! thanks :)

OpenStudy (calculusxy):

you're welcome :)

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