How do you find the domain of #f(x)=3/(x-6)#?

1 Answer
Trevor Ryan.
Nov 10, 2015

#Dom_f=RR-{6}#.

Explanation:

A vertical asymptote of this function would be all points which lead to dicision by zero and need to be excluded from the domain. In this case, #x=6#.

Hence the domain is all real numbers except 6.

ie, #Dom_f=RR-{6}#. This is also apparent from the graph of the function.

graph{3/(x-6) [-10, 10, -5, 5]}

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