Respuesta :

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ANSWER

[tex]g(f(x)) = 2x - 6.[/tex]


EXPLANATION

The given functions are;

[tex]f(x) = 3 - x[/tex]
and

[tex]g(x) = - 2x[/tex]


We now find

[tex]g(f(x)) = g(3 - x)[/tex]


We plug in f(x) into g(x) to get,


[tex]g(f(x)) = - 2(3 - x)[/tex]



We expand parenthesis to get,


[tex]g(f(x)) = - 6 + 2x[/tex]


Or


[tex]g(f(x)) = 2x - 6[/tex]

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