AntsPants
Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Finding the domain of a rational function.

F(x)=x/x^2-4

Sagot :

apologiabiology
if the equation is x/(x^2-4) then I will solve it here

it's rational
therefor we can't have any impossibles like dividing by zero and square root of -1 an d stuff



f(x)=x/(x^2-4)

we know that the denomenator cannot be equal to zero so the numbers you cannot user are the numbers that will make the bottom number zero
so x^2-4=0
x^2=4
x=-2 or 2

so x cannot be -2 or 2, but it can be all other numbers so
domain=all numbers except -2 and 2
[tex]f(x)=\frac{x}{x^2-4}\\\\D:x^2-4\neq2\ \ \ \ |add\ 4\ to \both\ sides\\\\x^2\neq4\iff x\neq\pm\sqrt4\Rightarrow x\neq-2\ and\ x\neq2\\\\Answer:\boxed{Domain\ D:x\in\mathbb{R}-\{-2;\ 2\}}[/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.