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lol
if \[f(x)=x ^{2} \] and \[g(x)=x+4\] find: A) ( fog ) (x) B) (fog) (2)
@math>philosophy shut up lol
do you know how to evaluate composite functions
no
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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
yeah .. lol
so just plug in whatever you want to
@jim_thompson5910
No
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yes
NO
yes
okay .
good
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Shut up
f(x)=x^2 f(g(x))=(g(x))^2 f(g(x))=(x+4)^2 (f o g)(x)=(x+4)^2
optionally, you can expand (x+4)^2 to get x^2 + 8x + 16, but again, it's optional in my view
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
(fog)(2)= (6)^2
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keep going
(fog)(2)= 12?
36*
36, yes
so the answer is fog(2)=36?
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yep
Thank you(:
yw
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