Respuesta :
Answer:
-2 is a zero if your function is [tex]F(x)=\frac{5(x+2)}{3(x-1)(x+7)}[/tex]
Please correct me if I'm wrong.
Step-by-step explanation:
Assuming you meant [tex]F(x)=\frac{5(x+2)}{3(x-1)(x+7)}[/tex]
the zeros are what makes the numerator 0 (any zeros of the top that are also zeros of the bottom should be excluded).
Anyways we just need to find when 5(x+2) is 0.
5(x+2)=0
Divide by 5 on both sideS:
x+2=0
Subtract 2 on both sides:
x=-2
And -2 doesn't make the bottom 0.
Checking to see : 3(-2-1)(-2+7)=3(-3)(5)=-9(5)=-45 (not 0).
So F has zero -2.
The zeroes of the function f(x)= 5(x + 2) / 3(x - 1)(x + 7) will be negative 2.
What is an asymptote?
An asymptote is a line that constantly reaches a given curve but does not touch at an infinite distance.
The function is given below.
f(x)= 5(x + 2) / 3(x - 1)(x + 7)
Then the value of the function is not defined at 1 and negative 7.
Then the zeroes of the function will be
x + 2 = 0
x = -2
The zeroes of the function will be negative 2.
More about the asymptote link is given below.
https://brainly.com/question/17767511
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