# Given f(x)= x^2/(x+2) how do you find -f(x)?

Mar 24, 2017

Negative function - invert the signs. Inverse function - interchange the $x$ and $y$ variables.

#### Explanation:

The original function, $f \left(x\right) = {x}^{2} / \left(x + 2\right)$, when introduced a negative, simply results in inverting all the signs.

As a result, you get: $- f \left(x\right) = - \frac{{x}^{2}}{x + 2}$.

Please don't get confused with the inverse notation: $f {\left(x\right)}^{-} 1$. Completely different than the negative function.

Hope this helps :)