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Katieann16Best ResponseYou've already chosen the best response.1
if \[f(x)=x ^{2} \] and \[g(x)=x+4\] find: A) ( fog ) (x) B) (fog) (2)
 one year ago

Katieann16Best ResponseYou've already chosen the best response.1
@math>philosophy shut up lol
 one year ago

math>philosophyBest ResponseYou've already chosen the best response.0
do you know how to evaluate composite functions
 one year ago

math>philosophyBest ResponseYou've already chosen the best response.0
take the function g(x) and put it into the variable for f(x) so f(x) = (x+4)^2 right
 one year ago

math>philosophyBest ResponseYou've already chosen the best response.0
so just plug in whatever you want to
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
f(x)=x^2 f(g(x))=(g(x))^2 f(g(x))=(x+4)^2 (f o g)(x)=(x+4)^2
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
optionally, you can expand (x+4)^2 to get x^2 + 8x + 16, but again, it's optional in my view
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
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
 one year ago

Katieann16Best ResponseYou've already chosen the best response.1
so the answer is fog(2)=36?
 one year ago
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