### Home > CALC > Chapter 1 > Lesson 1.3.3 > Problem1-129

1-129.

Given: $g ( x ) = \frac { 1 } { x ^ { 2 } - x }$

1. Find the domain of $g(x)$.

Solve for all values for which the denominator is zero. This will make the function undefined. That is, solve $x^2 - x = 0$.

1. Solve for $x$ if $g(x) = 0.5$.

1. Explain why $g(x)$ does not have an inverse function.

Recall that to create the inverse, reflect the original function over the line $y = x$.