Question

What is the inverse function of f(x) = x divided by x-2

Answer 1

Answer:

${f}^{ - 1} (x) = - 2x$

Step-by-step explanation:

$f(x) = x \div - 2$

$y = x \div ( - 2)$

$x = y \div ( - 2)$

$y \div ( - 2) = x$

$- \frac{1}{2} y = x$

$y = - 2x$

$\boxed{\green{{f}^{ - 1} (x) = - 2x}}$