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Explanation & Answer
(a)
f(x)=3x
g(x) =x/3
f(g(x) )=f(x/3)= 3 * x/3 =x
g(f(x)) = g(3x) =3x/3 =x
f and g are inverse of each other
(b)
f(x)=(x+3)/2
g(x)=2x+3
f(g(x))=f(2x+3) =(2x+3+3)/2= (2x+6)/2 =x+3 not equal to x
g(f(x)= g((x+3)/2= 2*(x+3)/2+3 =(x+3+3) =x+6 not equal to x
f and g are not inverse of each other
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