Bantuf(x) = 1 + x/x-1, maka f invers(x) adalah…

By Admin ReiPosted on December 9, 2022

Bantuf(x) = 1 + x/x-1, maka f invers(x) adalah…

$f(x) = frac{1+x}{x-1}$

$f^-1(x)$ =…?
anggap $f(x)= y dan$ $f^-1(x)$ = x
$y = frac{1+x}{x-1}$
$xy-y = 1+x$
$xy-x = 1+y$
$x(y-1) = 1+y$
$x = frac{1+y}{y-1}$
$f^-1(x) = frac{1+x}{x-1}$