### Home > PC3 > Chapter 11 > Lesson 11.1.1 > Problem11-8

11-8.

Write the equation of the inverse for each function below.

1. $f(x) = \frac { x + 1 } { x - 2 }$

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

$x(y-2)=y+1$

$xy-2x=y+1$

$xy-y=2x+1$

$y(x-1)=2x+1$

1. $g(x) =\frac { 10 x - 15 x ^ { 2 } } { 5 x ^ { 2 } }$

This function can be rewritten/simplified before finding the inverse.

$g(x)=\frac{5x(2-3x)}{5x^2}$