SOLUTION: What values for x must be excluded in the following fraction? x-3/(4x-5)(x+1)

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Question 112192: What values for x must be excluded in the following fraction? x-3/(4x-5)(x+1)
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.




Factor the left side (note: if you need help with factoring, check out this solver)




Now set each factor equal to zero:

or

or Now solve for x in each case


So our solutions are or



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

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