Answer:
[tex]\mathrm{Option \: C.}[/tex]
[tex]x \ne-3, \:4[/tex]
Step-by-step explanation:
[tex]F\left(x\right)=\frac{\left(x-4\right)\left(x+2\right)}{\left(x+3\right)\left(x-4\right)}[/tex]
[tex]\left(x+3\right)\left(x-4\right)=0[/tex]
[tex]x+3=0\\x+3-3=0-3\\x=-3[/tex]
[tex]x-4=0\\x-4+4=0+4\\x=4[/tex]
