The function h (x) = x2 + 3 and g (x) = x2 - 6. If g (x) = h (x) + k, what is the value of k?

-9

Step-by-step explanation:

Think intuitively. The expression "g (x) = h (x) + k" simply means x^2 - 6 is equal to (x^2 + 3) plus a number. The only number changing is the constant value, and in order to go from 3 to - 6, we subtract - 9;

x^2 - 6 = (x^2 + 3) - 9