gx Greaterthanorequalto 0 x epsilon infinity 1 union 0 1 uni
g(x) Greaterthanorequalto 0 x epsilon (-infinity, -1) union [0, 1) union [2, infinity) x epsilon (-1, 0] union (1, 2] x epsilon [0, 1) union [2, infinity) x epsilon (-infinity, -1) union [0, 1)
Solution
g(x)>=0 indicates the portion of graph on and above x axis
from the given graph the interval that describes g(x)>=0 is
(-,-1)U[0,1)U[2,)
![g(x) Greaterthanorequalto 0 x epsilon (-infinity, -1) union [0, 1) union [2, infinity) x epsilon (-1, 0] union (1, 2] x epsilon [0, 1) union [2, infinity) x ep g(x) Greaterthanorequalto 0 x epsilon (-infinity, -1) union [0, 1) union [2, infinity) x epsilon (-1, 0] union (1, 2] x epsilon [0, 1) union [2, infinity) x ep](/WebImages/19/gx-greaterthanorequalto-0-x-epsilon-infinity-1-union-0-1-uni-1041817-1761541273-0.webp)