To find the zeros of the function [tex]\( g \)[/tex] given that it has the factors [tex]\( (x-7) \)[/tex] and [tex]\( (x+6) \)[/tex], we need to set each factor equal to zero and solve for [tex]\( x \)[/tex].
1. For the factor [tex]\( (x-7) \)[/tex]:
[tex]\[
x - 7 = 0
\][/tex]
Solving for [tex]\( x \)[/tex]:
[tex]\[
x = 7
\][/tex]
2. For the factor [tex]\( (x+6) \)[/tex]:
[tex]\[
x + 6 = 0
\][/tex]
Solving for [tex]\( x \)[/tex]:
[tex]\[
x = -6
\][/tex]
Therefore, the zeros of the function [tex]\( g \)[/tex] are [tex]\( x = 7 \)[/tex] and [tex]\( x = -6 \)[/tex].
The correct answer is:
B. -6 and 7
