SOLUTION: What values for x, if any, must be excluded in each of the following algebraic fractions? x-1/x-5

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Question 107302: What values for x, if any, must be excluded in each of the following algebraic fractions?
x-1/x-5

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given function


Set the denominator equal to zero. Remember, dividing by 0 is undefined. So if we find values of x that make the denominator zero, then we must exclude them from the domain.



Add 5 to both sides


Combine like terms on the right side

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Answer:
So our answer is



Since makes the denominator equal to zero, this means we must exclude from our domain

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