<PRE><B>Question 182020</B>
Concept you should know:
F(x) and G(x) are inverses of each other if
F(G(x))=G(F(x))=1x
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a. f(x) = 4x     and     g(x) = 0.25x
f(g(x))=f(0.25x)=4(0.25x)=x
g(f(x))=g(4x)=0.25(4x)=x
they are inverses of each other
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b. f(x) = x – 4   and  g(x) = 2x + 4	
f(g(x))=f(2x+4)= 2x + 4 -4 =2x
g(f(x))=g(x-4) = 2(x-4) + 4 = 2x - 8 + 4 = 2x -4
they are not inverses of each other


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