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8
volunteer
F
16,143
528
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volunteer
composite of G.
16,143
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[]
volunteer
All right? So
16,143
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volunteer
when we're asked
16,143
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[]
volunteer
to find the actual function,
16,143
532
[]
volunteer
it's not too complicated. It's the same as just, oh.
16,143
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volunteer
change
16,143
534
[]
volunteer
OK.
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student
Mhm
16,143
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volunteer
see
16,143
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[]
volunteer
Just erase this
16,143
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volunteer
what I wrote
16,143
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[]
volunteer
OK, uh
16,143
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volunteer
so
16,143
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volunteer
if it helps you
16,143
542
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volunteer
what is F of
16,143
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volunteer
Y
16,143
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[]
volunteer
But you evaluate that
16,143
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[]
student
There's no why. So how do I know the way?
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volunteer
So let's just say why is the just the variable Y. There's no uh
16,143
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[]
volunteer
I could have, I could say that, but let's just say why is
16,143
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volunteer
just why
16,143
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student
Well then it's, it's Y. F is Y.
16,143
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[]
volunteer
So this would be
16,143
551
[]
student
Because Y is not
16,143
552
[]
volunteer
so this would be 2, right? Essentially, where you find the X.
16,143
553
[]
volunteer
you do 2 Y squared.
16,143
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volunteer
minus 3Y.
16,143
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[]
volunteer
OK.
16,143
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[]
volunteer
If it helps you, let's say Y is 3 X + 2.
16,143
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[]
volunteer
So when we say F of G of X
16,143
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[]
volunteer
Well, we said
16,143
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[]
volunteer
we uh
16,143
560
[]
volunteer
we say Y is equal to G of X, which is 3 x + 2.
16,143
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[]
volunteer
So now essentially where that Y is.
16,143
562
[]
volunteer
you would plug in
16,143
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[]
volunteer
that function. So it'd be 2.
16,143
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volunteer
GFX
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volunteer
2
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volunteer
minus
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volunteer
3GF X.
16,143
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volunteer
So then usually when they ask you for this kind of question, they're gonna ask you to finish the whole thing. So,
16,143
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volunteer
this is technically true
16,143
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volunteer
but what they would want is something like
16,143
571
[]
volunteer
you plug in
16,143
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volunteer
the, the function. So 3 x + 2.
16,143
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volunteer
2 times
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[]
volunteer
3 x + 2
16,143
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[]
volunteer
Oh, it's a bad 3
16,143
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[]
volunteer
supposed to be 3
16,143
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[]
volunteer
3 x + 2.
16,143
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[]
volunteer
2
16,143
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volunteer
minus 3
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volunteer
times
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volunteer
3 x + 2.
16,143
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volunteer
So this this goes deeper. You can simplify that further, but that's the general idea of how you would solve for it.
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student
Mm
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volunteer
So wherever you see the acts.
16,143
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[]
volunteer
right? So F of GFX, you're just gonna plug in
16,143
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volunteer
GFX right there. But that, that, that whole thing would be squared.
16,143
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volunteer
minus 3
16,143
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volunteer
and that whole thing times.
16,143
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[]
volunteer
3 x + 2
16,143
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volunteer
These are equivalent
16,143
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volunteer
OK
16,143
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volunteer
So that, that's the, the high level
16,143
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volunteer
If you have another one
16,143
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volunteer
I wish there was another example, so you could practice it.
16,143
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volunteer
But that's how you would approach doing that kind of problem.
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student
Mm.
16,143
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student
no
16,143
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volunteer
It's, it's the same idea, right? So when we're talking about
16,143
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volunteer
we're, we're taking the input
16,143
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volunteer
the output of GFX.
16,143
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volunteer
and it's gonna become the input to the next function.
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volunteer
And remember that picture?
16,143
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volunteer
except we're not using a number
16,143
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volunteer
we're just
16,143
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volunteer
solving it
16,143
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volunteer
or simplifying it
16,143
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volunteer
with the, the X
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[]
student
Mm
16,143
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student
got it
16,143
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volunteer
It might be helpful if there's another, do you have another example, and then you could try doing that one.
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student
Yeah, I do, I do
16,143
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student
Hm
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student
So I
16,143
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student
X would be X
16,143
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student
2.
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student
-3X
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student
G X
16,143
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student
will be 3 X.
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volunteer
I don't know.
16,143
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student
OK, so.
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student
you had
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student
Alright, so.
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student
Liam.
16,143
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[ { "pii_type": "PERSON", "surrogate": "Liam", "start": 0, "end": 4 } ]
student
right so
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student
we singing.
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student
at
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[]