Question

question 11 · 1 point
what is the domain of ( g(x) = log(x - x^2) )? give the answer in interval notation.
provide your answer below:

Explanation:

Step1: Set argument > 0

$x - x^2 > 0$ → $x(1 - x) > 0$

Step2: Solve inequality

Find roots: $x=0$, $x=1$. Test intervals: positive between 0 and 1.

Answer:

$(0, 1)$