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

1-129.

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

1. State the domain of $g$.

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

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

Substitute $0.5$ in for $g(x)$.

3. Explain why $g$ does not have an inverse that is a function.

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