Final answer:
To calculate g(0) for the function g(x) = (x+5)²-9, substitute x with 0 to get (0+5)²-9. Then, the calculation is straightforward: (5²)-9 = 25-9, which equals 16. Hence, g(0) is 16.
Step-by-step explanation:
To find g(0), we need to substitute x = 0 into the given function g(x) = (x + 5)² - 9. Following the steps:
- Replace x with 0 in the function: (0 + 5)² - 9.
- Calculate the square of 5: 5² = 25.
- Subtract 9 from 25: 25 - 9 = 16.
Therefore, the value of g(0) is 16.