ANSWER
[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]
EXPLANATION
It was given that;
[tex]f(x) = - 3x - 7[/tex]
and
[tex]g(x) = {x}^{4} [/tex]
We want to find the composite function,
[tex](f\circ g)(x) = f(g(x))[/tex]
[tex](f\circ g)(x) = f( {x}^{4} )[/tex]
We plug in x⁴ into f(x)=-3x-7 to obtain:
[tex](f\circ g)(x) = - 3 {x}^{4} - 7[/tex]
