Answer:
[tex]f(x)=x^4,g(x)=5x+x^2[/tex]
Step-by-step explanation:
The given function is
[tex]F(x)=(5x+x^2)^4[/tex]
We need to express the function in the form f ∘ g. Where f(x) and g(x) are non-identity functions.
[tex]F(x)=(f\circ g)(x)[/tex]
[tex]F(x)=f(g(x))[/tex]
[tex](5x+x^2)^4=f(g(x))[/tex]
Let as consider [tex]g(x)=5x+x^2[/tex].
[tex](g(x))^4=f(g(x))[/tex]
[tex]f(x)=x^4[/tex]
Therefore, the required functions are [tex]f(x)=x^4,g(x)=5x+x^2[/tex].
