Given that $f (x) = \frac{x}{5 - x}$ $f(x) = x/(5-x)$ , what is $f (- \frac{4}{5})$ $f(-4/5)$ ?

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Answer 1 · 2018-01-30T17:50:06

$- \frac{4}{29}$ $-4/29$

$x = - \frac{4}{5}$ $x=-4/5$

$5 - x = 5 - (- \frac{4}{5})$ $5-x=5-(-4/5)$

$= 5 + \frac{4}{5}$ $=5+4/5$

$= \frac{25}{5} + \frac{4}{5}$ $=25/5+4/5$

$= \frac{29}{5}$ $=29/5$

Thus

$\frac{x}{5 - x} = \frac{- \frac{4}{5}}{\frac{29}{5}}$ $x/(5-x)=(-4/5)/(29/5)$

Simplifying

$f (- \frac{4}{5}) = - \frac{4}{29}$ $f (-4/5)=-4/29$

Given that f(x) = x/(5-x)f(x)=x5−xf(x) = x/(5-x), what is f(-4/5)f(−45)f(-4/5)?