Final answer:
To find the values of the function g(x) = x² - 2 for the given domain {-2,-1,1,3}, we substitute each number into the function. The resulting values are 2, -1, -1, and 7 for x values of -2, -1, 1, and 3, respectively.
Step-by-step explanation:
The question asks to find the values of the function g(x) = x² - 2 for the domain {-2,-1,1,3}. To find these values, we will substitute each number from the domain into the function and simplify.
- For x = -2: g(-2) = (-2)² - 2 = 4 - 2 = 2
- For x = -1: g(-1) = (-1)² - 2 = 1 - 2 = -1
- For x = 1: g(1) = (1)² - 2 = 1 - 2 = -1
- For x = 3: g(3) = (3)² - 2 = 9 - 2 = 7
Therefore, the values of the function g(x) for the given domain are: 2, -1, -1, and 7, respectively.