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

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