{3| GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other v Espai‘lal For each pair of functionsfand g below, findf(g(x)) and g(f(x)).

{3| GRAPHS AND FUNCTIONS Determining whether two functions are inverses of each other v Espai‘lal For each pair of functionsfand g below, findf(g(x)) and g(f(x)).
Then, determine whetherfand g are inverses of each other. Simpliflg your answers as much as possible.
(Assume that your expressions are defined for all I in the domain of the composition.
You do not have to indicate the domain.) 1
(a)f(x)= ;, “to (b)f(x): —2x
I l
g(x)=;,x#=0 g(x)=;,x=f=0 f(g(x)) = I] f(g(x)) = I] g(f(x)) = I] g(f(x)) = I] O fand gare Tnverses of each other 0 fand gare inverses of each other 0 fand g are not inverses of each other 0 f and gare not inverses of each other

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