The zeros of a function are the values of x that equates the function to 0
The zeros of the function are: 0, -7 and -2
The function is given as:
[tex]\mathbf{f(x)= \frac{x(x + 7)(x + 2)}{(x - 4)(x + 4)}}[/tex]
Equate to 0
[tex]\mathbf{ \frac{x(x + 7)(x + 2)}{(x - 4)(x + 4)} = 0}[/tex]
Cross multiply
[tex]\mathbf{ x(x + 7)(x + 2) = 0}[/tex]
Split
[tex]\mathbf{ x= 0\ or\ (x + 7) = 0\ or\ (x + 2) = 0}[/tex]
Solve for x
[tex]\mathbf{ x= 0\ or\ x = -7\ or\ x = -2}[/tex]
Hence, the zeros of the function are:
F. 0
D. -7
C. -2
Read more about zeros of a function at:
https://brainly.com/question/16633170
