Answer:
a:x=-3
c:x=1
Step-by-step explanation:
The zeros of a function are the values of x for which the value of the function f(x) becomes zero.
In this problem, we have the following function:
[tex]f(x)=\frac{1}{2}(x-1)(x+3)[/tex]
Here we want to find the zeros of the function, i.e. the values of x for which
[tex]f(x)=0[/tex]
In order to make f(x) equal to zero, either one of the factors [tex](x-1)[/tex] or [tex](x+3)[/tex] must be equal to zero.
Therefore, the two zeros can be found by requiring that:
1)
[tex]x-1=0\\\rightarrow x=+1[/tex]
2)
[tex]x+3=0\\\rightarrow x=-3[/tex]
So the correct options are
a:x=-3
c:x=1
