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Drupady [299]
3 years ago
6

What are the zeros of the function below? Check all that apply. F(x) =x(x-2)/(x+3)(x-5)

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0

Answer:

<h2>x = 0 and x = 2</h2>

Step-by-step explanation:

\text{The domain:}\\\\(x+3)(x-5)\neq0\iff x+3\neq0\ \wedge\ x-5\neq0\\\\x\neq-3\ \wedge\ x\neq5\\\\========================\\\\f(x)=\dfrac{x(x-2)}{(x+3)(x-5)}\\\\\text{The zeros are for}\ f(x)=0\\\\\dfrac{x(x-2)}{(x+3)(x-5)}=0\iff x(x-2)=0\iff x=0\ \vee\ x-2=0\\\\x=0\in D\ \vee\ x=2\in D

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