The subtraction of functions is given by:
[tex](f-g)(x)=f(x)-g(x)[/tex]Then, we have:
[tex]\begin{gathered} f\mleft(x\mright)=-2x+4 \\ g\mleft(x\mright)=-6x-7 \\ (f-g)(x)=f(x)-g(x) \\ (f-g)(x)=-2x+4-(-6x-7) \\ (f-g)(x)=-2x+4+6x+7 \\ \text{ Add similar terms} \\ (f-g)(x)=4x+11 \end{gathered}[/tex]Therefore, the result of subtracting the given functions is:
[tex](f-g)(x)=4x+11[/tex]