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Just like with fractions, we cannot divide by 0 in rational functions.
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Consider the given rational function. y=2x/8x-12 To identify the excluded value, we must remember that the denominator cannot be 0 because division by 0 is not defined. Let's find the value of x that would make the denominator equal to 0.
LHS+12=RHS+12
.LHS /8.=.RHS /8.
a/b=.a /4./.b /4.
If x= 32, the value of the denominator is 0. Therefore, the excluded value is x= 32.