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3) Given the following functions,

f(x)=x+2 and g(x) = 3x - 4


3A) Find (fog)(-1/3)




3B) Find (gof)(x)




3C) Determine if f(x) and g(x) are inverses. Explain your result in a full sentence.

User Rorymadden
by
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1 Answer

2 votes

Part A


g(-1/3)=3(-1/3)-4=-5\\\\f(g(-1/3))=f(-5)=-5+2=\boxed{-3}

Part B


g(f(x))=g(x+2)=3(x+2)-4=3x+6-4=\boxed{3x+2}

Part C

Since
g(f(x)) \\eq x,
g(x) and
f(x) are not inverses.

User Bmaupin
by
7.6k points

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