The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=h(x)+k what is the value of k

hello : k = - 9

Step-by-step explanation:

h(x) =x²+3      and   g(x) = x² - 6(*)

g(x) = x² +3 + k(**)

by (*) and (**) : 3+k = -6

3+k - 3 = - 6 - 3

k = - 9

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.