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OpenStudy (marcelie):
OpenStudy (marcelie):
number 18
OpenStudy (fortytherapper):
I agree with what you wrote
f(fx)(5). This will just get messy. It's the same procedure as gof or fog, so you really don't need g(x) to solve this one
OpenStudy (marcelie):
so answer is 8
OpenStudy (fortytherapper):
Not exactly.
For composite function fof,
Wherever you see an 'x' in the f(x) function, you have to replace it with the f(x) function
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OpenStudy (marcelie):
ohh so how would it look like ?
OpenStudy (fortytherapper):
This is the messy part.
So f(x) is \[x^2-4x+3\]
You see an x twice in that function, right? So you have to replace that x with the f(x) function itself. So it would look like:
\[(x^2-4x+3)^2-4(x^2-4x+3)+3\]
See how I replaced those X's with the whole f(x) function?
OpenStudy (fortytherapper):
Now we can plug in 5 to get
\[((5)^2-4(5)+3))^2-4((5^2)-4(5)+3))+3\]