Respuesta :

Answer:

The value of k is -9

Step-by-step explanation:

Subsitute

g(x)=h(x)+k

[tex](x^2-6)=(x^2+3)+k[/tex]

[tex]x^2-6=x^2+3+k[/tex]

subtract [tex]x^2+3[/tex] from both sides (or add [tex]-x^2-3[/tex] to both sides)

[tex]-9=k[/tex]

[tex]k=-9[/tex]