Respuesta :

Answer:

The value of k is - 9

Step-by-step explanation:

∵ h(x) = x² + 3

∵ g(x) = x² - 6

g(x) = h(x) + k

- To find the value of k substitute g(x) by x² - 6 and h(x) by x² + 3

   in the equation above to find k

x² - 6 = x² + 3 + k

- Subtract 3 from both sides

∴ x² - 6 - 3 = x² + 3 + k - 3

- Add the like terms in both sides

∴ x² - 9 = x² + k

- Subtract x² from both sides

∴ - 9 = k

The value of k is - 9