What is the domain of #f(x) = 8/(x-13)#?

1 Answer
Sep 13, 2017

#"Domain:"# #{x in RR | x ne 13}#

Explanation:

We have: #f(x) = frac(8)(x - 13)#

The domain of this function is dependent on the denominator.

The denominator of any fraction cannot be equal to zero:

#Rightarrow x - 13 ne 0#

#therefore x ne 13#

Therefore, the domain of #f(x)# is #{x in RR | x ne 13}#.