Question

Suppose that the functions ( f ) and ( g ) are defined as follows. [ egin{array}{l} f(x)=frac{4}{x}, x eq 0 \ g(x)=x^{2}-4 end{array} ] Find the compositions ( f circ f ) and ( g circ g ). Simplify your answers as much as possible. (Assume that your expressions are defined for all ( x ) in the domain of the composition. You do not have to indicate the domain.) [ egin{array}{l} (f circ f)(x)= \ (g circ g)(x)= end{array} ]

          Suppose that the functions ( f ) and ( g ) are defined as follows.
[
egin{array}{l}
f(x)=frac{4}{x}, x 
eq 0 \
g(x)=x^{2}-4
end{array}
]
Find the compositions ( f circ f ) and ( g circ g ).
Simplify your answers as much as possible.
(Assume that your expressions are defined for all ( x ) in the domain of the composition. You do not have to indicate the domain.)
[
egin{array}{l}
(f circ f)(x)= \
(g circ g)(x)=
end{array}
]

$Suppose that the functions ( f ) and ( g ) are defined as follows. [ eginarrayl f(x)=frac4x, x eq 0 g(x)=x^2-4 endarray ] Find the compositions ( f circ f ) and ( g circ g ). Simplify your answers as much as possible. (Assume that your expressions are defined for all ( x ) in the domain of the composition. You do not have to indicate the domain.) [ eginarrayl (f circ f)(x)= (g circ g)(x)= endarray ]$

Added by Partyka F.

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