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]
