Question

Find the inverse f(x)=8-9x

Answer 1

Answer:

${f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}$

Step-by-step explanation:

$f(x) = 8 - 9x$

$y = 8 - 9x$

$x = 8 - 9y$

$8 - 9y = x$

$- 9y = x - 8$

$y = - \frac{1}{9} x + \frac{8}{9}$

$\boxed{\green{{f}^{ - 1} (x) = - \frac{1}{9} x + \frac{8}{9}}}$