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math>philosophy
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lol

Katieann16
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if \[f(x)=x ^{2} \] and \[g(x)=x+4\] find:
A) ( fog ) (x)
B) (fog) (2)

Katieann16
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@math>philosophy shut up lol

math>philosophy
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do you know how to evaluate composite functions

Katieann16
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no

math>philosophy
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take the function g(x) and put it into the variable for f(x) so f(x) = (x+4)^2 right

Katieann16
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yeah .. lol

math>philosophy
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so just plug in whatever you want to

Katieann16
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@jim_thompson5910

Katieann16
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No

math>philosophy
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yes

Katieann16
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NO

math>philosophy
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yes

Katieann16
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okay .

math>philosophy
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good

Katieann16
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Shut up

jim_thompson5910
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f(x)=x^2
f(g(x))=(g(x))^2
f(g(x))=(x+4)^2
(f o g)(x)=(x+4)^2

jim_thompson5910
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optionally, you can expand (x+4)^2 to get x^2 + 8x + 16, but again, it's optional in my view

jim_thompson5910
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to find (fog) (2), you plug x = 2 into (f o g)(x)=(x+4)^2 to get
(f o g)(x)=(x+4)^2
(f o g)(2)=(2+4)^2
I'll let you finish

Katieann16
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(fog)(2)= (6)^2

jim_thompson5910
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keep going

Katieann16
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(fog)(2)= 12?

Katieann16
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36*

jim_thompson5910
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36, yes

Katieann16
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so the answer is fog(2)=36?


Katieann16
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Thank you(:
