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OpenStudy (anonymous):
Let f(x) = x + 2 and g(x) = x2 Find ( g o f)(-5)
A.
-3
B.
-10
C. 49
D.
9
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OpenStudy (anonymous):
@Catlover5925
myininaya (myininaya):
first we deal with the inside function
what is f(-5)?
myininaya (myininaya):
then we will do g(of that result)
OpenStudy (anonymous):
sorry im new to this my teach kinf of threw it on me and was like learn it and didnt really show me how
myininaya (myininaya):
but can you find f(-5)
or you don't understand that either?
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OpenStudy (anonymous):
im sorry i really dont
myininaya (myininaya):
well f(x)=x+2
myininaya (myininaya):
and if we want to find f(-5)
then we just need to replace the x's in that f function right there with -5
myininaya (myininaya):
f(-5)=-5+2=?
OpenStudy (anonymous):
-3
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myininaya (myininaya):
yes so f(-5)=-3
myininaya (myininaya):
\[\[(g ^o f)(-5)=g(f(-5)) \\ \] \]
myininaya (myininaya):
so we found the inside f(-5)=-3
so now we need to take care of the outside
myininaya (myininaya):
g(-3)=?
myininaya (myininaya):
used the function that is called g above
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OpenStudy (anonymous):
um is it -1
myininaya (myininaya):
g(x)=x^2
myininaya (myininaya):
so g(-3)=?
myininaya (myininaya):
x^2 means x*x
myininaya (myininaya):
so (-3)^2 means (-3)*(-3)
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myininaya (myininaya):
so that couldn't be -1
OpenStudy (anonymous):
it would be 9
myininaya (myininaya):
yea
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