Respuesta :

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]

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