SOLUTION: find f (g(x)) and g (f(x)) and determine whether each pair of functions f and g are inverse of each other. F(x)=(3)/(x-4) and g(x)=(3/x)+4

Question 404824: find f (g(x)) and g (f(x)) and determine whether each pair of functions f and g are inverse of each other.
F(x)=(3)/(x-4) and g(x)=(3/x)+4

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find f (g(x)) and g (f(x)) and determine whether each pair of functions f and g are inverse of each other.
F(x)=(3)/(x-4) and g(x)=(3/x)+4
..
F[g(x)]=3/(3/x)+4-4=x
g[F(x)]=(3)/((3)/(x-4))+4
g[F(x)]=x-4+4=x
ans:
Because F[g(x)]=g[F(x)]=x, functions of F and g are inverse of each other
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