Answer:
[tex]f(x) = \frac{8}{x}+4[/tex] and [tex]g(x) = x^{2}[/tex]
Step-by-step explanation:
Statement is not written correctly. Equation may confuse readers. The correct statement is:
Find [tex]f(x)[/tex] and [tex]g(x)[/tex] so the function can be expressed as [tex]y = f(g(x))[/tex], [tex]y = \frac{8}{x^{2}}+4[/tex].
A composition of functions consists in substituting the independent variable of the first function ([tex]f(x)[/tex]) with the second function ([tex]g(x)[/tex]). In that sense, we can notice by direct inspection that:
[tex]f(x) = \frac{8}{x}+4[/tex] and [tex]g(x) = x^{2}[/tex]
