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Mathematics 15 Online
OpenStudy (anonymous):

Find (ƒ ○ ƒ)(−2).

OpenStudy (anonymous):

@jim_thompson5910 could you possibly go through the steps on this one?

jimthompson5910 (jim_thompson5910):

(f o f)(-2) is the same as saying f( f(-2) ) similar problem: (f o g)(-2) is the same as saying f( g(-2) )

jimthompson5910 (jim_thompson5910):

f(-2) = _____ (fill in the blank)

OpenStudy (anonymous):

f(-2)=f(f(-2) )?

jimthompson5910 (jim_thompson5910):

what is f(-2) equal to in terms of the graph

OpenStudy (anonymous):

oh okay when f(-2) x=0

jimthompson5910 (jim_thompson5910):

f(-2) is the same as saying "what is y when x = -2"

OpenStudy (anonymous):

ah i was doing it backwards, hah my bad! when x is -2 why is 2 and 4.

OpenStudy (anonymous):

2 and -4**

jimthompson5910 (jim_thompson5910):

no, there's only one y value for x = -2

jimthompson5910 (jim_thompson5910):

only focus on f

jimthompson5910 (jim_thompson5910):

not g

jimthompson5910 (jim_thompson5910):

close but no

OpenStudy (anonymous):

f(-2)=2

jimthompson5910 (jim_thompson5910):

better

jimthompson5910 (jim_thompson5910):

f( f(-2) ) turns into f( 2 ) since f( -2 ) and 2 are the same

OpenStudy (anonymous):

ahh okay so for this question, g(0)=-2?

jimthompson5910 (jim_thompson5910):

g(0) = -2 is correct then you take -2 and plug it back into g(x) since g( g(0) ) = g( -2 )

OpenStudy (anonymous):

ah okay thank you!

jimthompson5910 (jim_thompson5910):

np

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