Respuesta :

we have the expression

[tex]\frac{x^2+3x-4}{x+4}[/tex]

Remember that

The denominator can not be equal to zero

so

The value of x in the domain can not be equal to -4

we have that

[tex]x^2+3x-4=(x+4)(x-1)[/tex]

substitute

[tex]\frac{x^2+3x-4}{x+4}=\frac{(x+4)(x-1)}{(x+4)}=x-1[/tex]

answer is option D