Answer:
The zeros of the function are [tex]x=-9, x=-1/6, x=4[/tex]
Step-by-step explanation:
we know that
The zeros of the function or the x-intercepts are the values of x when the value of the function is equal to zero
so
For f(x)=0
we have
[tex](x+9)(x-4)(6x+1)=0[/tex]
Find the first zero
[tex](x+9)=0[/tex] -----> [tex]x=-9[/tex]
Find the second zero
[tex](x-4)=0[/tex] -----> [tex]x=4[/tex]
Find the third zero
[tex](6x+1)=0[/tex] -----> [tex]x=-1/6[/tex]
therefore
The zeros of the function are [tex]x=-9, x=-1/6, x=4[/tex]
