SOLUTION: what is the domain in interval notation of f(x)=1/13-x

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Question 908773: what is the domain in interval notation of f(x)=1/13-x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming the function is f%28x%29+=+1%2F%2813-x%29

Since you cannot divide by zero, this means the denominator 13-x cannot be zero.

If it were zero, then 13-x=0 ---> x=13

In reverse, this means that if x=13 then the denominator 13-x is zero.

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Because x=13 causes the denominator 13-x to be zero, we have to kick this number out of the domain. Any other number works.

So the domain is the set of real numbers x BUT x cannot equal 13.

In interval notation, the domain is