Given g(x)=3x+4 what is g(-3)?
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Answer:
Apply definition. See below
Explanation:
g∘f(x)=g(f(x))=g(−3x+4)=(−3x+4)2
In x=−2 we have g∘f(−2)=(−2⋅−3+4)2=102=100
As bonus
f∘g(x)=f(g(x))=f(x2)=−3x2+4
And for x=−2 we have f∘g(−2)=−3(−2)2+4=−8
So composed functions are not the same and then there is no conmutativity
Answer:
g(x)=-5
Step-by-step explanation:
g(x)=3x+4
=3(-3)+4
=-9+4
=-5