Answer:
[tex]h(x) = x^{3}[/tex]
Step-by-step explanation:
[tex]f(x) = (8 \times x^{4}- 3)^{3}[/tex] ------------(1) (given)
[tex]g(x) =(8 \times x^{4}- 3)[/tex] -------------(2) (given)
so,
f(x) = h(g(x)) (given)
= [tex](g(x))^{3}[/tex]-----(from (1) and (2))
⇒[tex]h(k) = k^{3}[/tex]-----(taking g(x) = k)
⇒[tex]h(x) = x^{3}[/tex] is the function.