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Mathematics 15 Online
OpenStudy (anonymous):

Help me .

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@math>philosophy shut up lol

OpenStudy (anonymous):

do you know how to evaluate composite functions

OpenStudy (anonymous):

no

OpenStudy (anonymous):

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

OpenStudy (anonymous):

yeah .. lol

OpenStudy (anonymous):

so just plug in whatever you want to

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

No

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

NO

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

okay .

OpenStudy (anonymous):

good

OpenStudy (anonymous):

Shut up

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

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

OpenStudy (anonymous):

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

jimthompson5910 (jim_thompson5910):

keep going

OpenStudy (anonymous):

(fog)(2)= 12?

OpenStudy (anonymous):

36*

jimthompson5910 (jim_thompson5910):

36, yes

OpenStudy (anonymous):

so the answer is fog(2)=36?

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (anonymous):

Thank you(:

jimthompson5910 (jim_thompson5910):

yw

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