ANSWER
[tex](g\circ f)( - 3) = 1[/tex]
EXPLANATION
The given functions are
[tex]f(x) = x + 4[/tex]
and
[tex]g(x) = {x}^{3} [/tex]
The composite function,
[tex](g\circ f)(x) = g(f(x))[/tex]
[tex](g\circ f)(x) = g(x + 4)[/tex]
[tex](g\circ f)(x) = ( {x + 4)}^{3} [/tex]
We now substitute x=-3 to obtain:
[tex](g\circ f)( - 3) = ( { - 3 + 4)}^{3} [/tex]
[tex](g\circ f)( - 3) = ( {1)}^{3} = 1[/tex]
