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