I see the convenience of setting the denominator "not equal" to zero. However, the math represented here is a little flawed.

What we know is the zero product property:

We also know that the inverse of this property holds:

In other words, when the product is not equal to zero, we need

**both**factors to be different from zero.

So, when we teach domains of rational functions like the example above, we're getting a more restrictive domain than necessary.

That's my nitpicky rant for the day.

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