Find the inverse of the function $f (x) = - 5 x$ $f(x)= -5x$ How would I do this?

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Answer 1 · 2017-12-27T23:28:22

$f^{- 1} (x) = - \frac{x}{5}$ $f^-1(x)=-x/5$

Replace $f (x)$ $f(x)$ with $y$ $y$

$y = - 5 x$ $y=-5x$

Replace $y$ $y$ with $x$ $x$ and vice versa:

$x = - 5 y$ $x=-5y$

Solve for $y$ $y$ :

$- \frac{x}{5} = y$ $-x/5=y$ (Divide by $- 5$ $-5$ to isolate $y$ $y$ )

$y = - \frac{x}{5}$ $y=-x/5$ (Rewrite so that $y$ $y$ is the subject of the equation)

$therefore f^-1(x)=-x/5$

Find the inverse of the function f(x)= -5xf(x)=−5xf(x)= -5x How would I do this?