My Math Forum is it possible for a function to have a positive or negative root?

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 April 30th, 2017, 07:07 PM #1 Newbie   Joined: Apr 2017 From: philippines Posts: 1 Thanks: 0 is it possible for a function to have a positive or negative root? sorry im not really good at math please don't judge me for example f(x)=(cuberoot)x+8 is it still a function if for some instance it was f(x) = positive or negative cuberoot of x + 8. Well i have not seen any example with that positive or negative cube root or square root so maybe the answer is no but why? I wondered be when i was studying function inverses is was possible for a function to have inverse relations say for example s=-16(t-2)^2 when you get its inverse it will be an inverse relation t=2 (positive or negative squareroot of 68-s/4) here positive and negative square roots where applied ....and i want to know why? what was the basis of doing that? I hope you get my point im very confused right now ....
 April 30th, 2017, 07:32 PM #2 Math Team   Joined: Dec 2013 From: Colombia Posts: 6,778 Thanks: 2195 Math Focus: Mainly analysis and algebra The is only one (real) cube root of a real number. For example, $\sqrt[3]{8} = 2$ and that's the only (real) answer. $\sqrt[3]{8} \ne -2$ because $(-2)^3 = -8$, not $+8$. With square roots, if there can be two real numbers that satisfy the equation.

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