To find [tex]\( g(-2) \)[/tex] given the function [tex]\( g(x) = x^2 - 2 \)[/tex]:
1. Substitute [tex]\( -2 \)[/tex] for [tex]\( x \)[/tex] in the function [tex]\( g(x) \)[/tex].
2. The function becomes [tex]\[ g(-2) = (-2)^2 - 2. \][/tex]
3. Calculate the square of [tex]\( -2 \)[/tex]: [tex]\[ (-2)^2 = 4. \][/tex]
4. Subtract 2 from this result: [tex]\[ 4 - 2 = 2. \][/tex]
Therefore, [tex]\( g(-2) = 2 \)[/tex].
