simplify and state restrictions x-y/y-x
Well, if you do this: \[\frac{x-y}{y-x} = \frac{-(y-x)}{y-x} = -\frac{y-x}{y-x}\] You might realize what it simplifies to at least.
For restrictions, just ask yourself what would make the denominator equal zero. There's a value that x cannot equal and a value that y cannot equal.
0?
The denominator cannot equal zero. But what values of x and y would make the denominator zero? Also, did you figure out what the entire expression simplifes to?
i don't know because if you divide y-x by y-x isn't it 0?
or -1?
\[\frac{\text{anything}}{\text{itself}}= 1\] Yes, it simplifies to -1
What about the restrictions?
(y-x)(y-x)=0 , y=x?
When figuring out restrictions, you only need to pay attention to the original expression.
\[y \ne x\] is one restriction though. There is another.
x=y?
Well, nevermind. That's the restriction. Good job.
oh okay thanks!
I usually write restrictions with the not equal sign. As it shows what it cannot equal.
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