Question 107302

{{{f(x)=(x-1)/(x-5)}}} 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+5}}}Add 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