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) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=%28x-1%29%2F%28x-5%29 Start with the given function


x-5=0 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.



x=0%2B5Add 5 to both sides


x=5 Combine like terms on the right side

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Answer:
So our answer is x=5



Since x=5 makes the denominator equal to zero, this means we must exclude x=5 from our domain