We want to find the subtraction of two functions, f and g, we can write it as
[tex](f-g)(x)[/tex]
That's the same thing as
[tex](f-g)(x)=f(x)-g(x)[/tex]
Then we can put the definition of f and g and solve it
[tex]f(x)-g(x)=(x^2-16)-(x+4)[/tex]
Simplify it
[tex]\begin{gathered} f(x)-g(x)=(x^{2}-16)-(x+4) \\ \\ f(x)-g(x)=x^2-16-x-4 \\ \\ f(x)-g(x)=x^2-x-20 \\ \end{gathered}[/tex]
The final answer is
[tex](f-g)(x)=x^2-x-20[/tex]
