Answer
$f(-5)=\dfrac{7}{10}$
$f(0)=\dfrac{2}{5}$
$f(10)=\dfrac{8}{5}$
Work Step by Step
To find $f(-5), f(0), \text{ and } f(10)$, susbtitute -5, 0, and 10, respectively, to $x$ to have:
$f(-5)=\dfrac{-5-2}{-5+(-5)}=\dfrac{-7}{-10}=\dfrac{7}{10}
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\\f(0)=\dfrac{0-2}{-5+0}=\dfrac{-2}{-5}=\dfrac{2}{5}
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\\f(10)=\dfrac{10-2}{-5+10}=\dfrac{8}{5}$