ANSWER
k=-9
EXPLANATION
The given function is
[tex]h(x) = {x}^{2} + 3[/tex]
and
[tex]g(x) = {x}^{2} - 6[/tex]
We want to rewrite g(x) in terms of f(x).
[tex] {x}^{2} - 6 = {x}^{2} + 3 + - 9[/tex]
This implies that,
[tex]g(x) = h(x) + - 9[/tex]
When we compare, we realize that
[tex]k = - 9[/tex]
