Final answer:
The values of x for which g(x) = -2x²+1 are {-2,0,2}.
Step-by-step explanation:
To find the value of x for the equation g(x) = -2x²+1 using the given values {-2,0,2}, we substitute each value into the equation and solve for x.
For x = -2, g(-2) = -2(-2)²+1 = -2(4)+1 = -8+1 = -7
For x = 0, g(0) = -2(0)²+1 = 0+1 = 1
For x = 2, g(2) = -2(2)²+1 = -2(4)+1 = -8+1 = -7
Therefore, the values of x for which g(x) = -2x²+1 are {-2,0,2}.