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NationalTutoringObservatory
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MathEd-PII

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volunteer
well, X can be any real number, I guess, so
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volunteer
It says here -3.
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volunteer
and 2
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volunteer
Do you know how to get the output.
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student
Mhm. I, I know. Simple.
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student
so
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student
So
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student
and this one,
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student
let me exchange the color
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student
red
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volunteer
Mhm.
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student
It's been -8.
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volunteer
How did you get that?
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student
So
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student
I just put the machine, so in -3 I plugged in for the first one I plugged in -3 + 1.
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volunteer
Oh
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student
which is, I think, for, and then after that, I plugged in the edge of the output and plug in GX, which it, which we can
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volunteer
OK
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volunteer
So
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volunteer
uh
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volunteer
that's a little bit further ahead. I'm just talking about this one.
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volunteer
I'm not talking about the composite yet.
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volunteer
So this one is
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student
Oh, so
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volunteer
3 x minus 2
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volunteer
I think you have the right idea though.
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student
oh
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student
my bad. Oh
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volunteer
It's OK.
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student
oh, for this 13 times negative, that will equal. That'd be negative 1.
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volunteer
Yeah
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volunteer
OK
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student
So this one is 6 + 2 between 8
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volunteer
Mhm
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student
Mm
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student
other times 3, it'll be 3 X, it'll be -5.
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volunteer
Yup
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student
So 3 times 0 would be 0, so obviously it's going to be negative too. Uh
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volunteer
Mhm
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student
so 3 times, so this was one.
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student
yeah, positive one cause.
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volunteer
Yeah
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student
and 3 times plus 6.
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student
will be 4 this one
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student
4
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student
and then this one, daytime 3 is 99 minus 2 will be 7.
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volunteer
Yeah
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student
Got it
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volunteer
So the, the point of that is essentially, it's the same idea.
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volunteer
but there's an extra step. So
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volunteer
when we talk about a composite
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volunteer
if we're talking about G
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volunteer
let's see, of F of X.
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volunteer
right here
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volunteer
We're passing through this, this number.
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volunteer
through F of X, that machine you could call it.
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volunteer
So we're getting the output of that machine.
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volunteer
and then we're inputting it into this machine.
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volunteer
So when we talk about the composite,
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volunteer
it's a very similar idea.
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volunteer
So let's see
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volunteer
Let's try 0.
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volunteer
1, and 2
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volunteer
So you, you know how functions work.
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volunteer
so,
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volunteer
essentially what we're doing is
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volunteer
we're going from
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volunteer
the inside
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volunteer
F of X
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student
What shape
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volunteer
and the output of that becomes the input
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student
No
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volunteer
of G of X. So it might help to try, try a couple.
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volunteer
with it.
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volunteer
Mhm.
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student
So just like plugging it in. So I think I got what you mean. So I think says X + 1. So if you put 0,
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volunteer
Yeah.
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volunteer
Mm
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student
uh 0 + 1 which is 1.
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volunteer
Yeah
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student
I see. So what then that means X is 1, so we put G F X
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volunteer
Mhm.
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student
Wait, that means again one?
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student
Wait, no.
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volunteer
Yeah, so she, uh, if you wanna write it out, G of F of 0.
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volunteer
equals G of 1.
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volunteer
and we did that already, or you did it actually.
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student
Yeah
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volunteer
right? You got one right there.
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student
Oh
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volunteer
Mhm.
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student
Uh
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volunteer
How about you one.
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volunteer
or GFF of 1
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student
OK, so, so one
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student
so one plus 1 is obviously 2.
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student
and then
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student
C X, OK, G X
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student
So 22 times 3 would be 6.
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student
Uh, 6 minus 2 would be 4, that'll be 4.
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