Respuesta :

Answer:

[tex]g(f(0))=-3[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2}[/tex]

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

we know that

[tex](g o f)(x)=g(f(x))[/tex]

substitute the variable x in the function g(x) by the function f(x)

so

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

Evaluate [tex]g(f(0))[/tex]

For x=0

[tex]g(f(0))=0^{2}-3[/tex]

[tex]g(f(0))=-3[/tex]

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