Greg mentioned that denominators cannot be equal to zero after plugging in x, and mentioned x cannot be 0 or 4/5, 4/5. I 100% understand. But, to me, 0 does not make the denominator equal 0. Can someone correct me if I am wrong in this case?
What does 12(0) - 15(0)^2 equal?
I see so we have to take in account the unsimplified form AND the simplified form? And do we do this always. For example before solving, I should take account of the current equation make surei ts unequal to the correct number then simplify it.
\frac xx is only equal to 1 when x isn’t 0, which is why we noted that x \neq 0 before the cancellation.
It might serve you well to just write out the domain of the original function before any sort of simplification.
Thank you my goat, you are the best