What is the domain of #f(x) = 5/(x-9)#?

1 Answer
Sep 21, 2015

Answer:

#{x|x!=9}#

Explanation:

The domain is the set of values of #x# for which the function is defined. The function #f(x)=5/(x-9)#, will only be undefined if the denominator is 0. Simply look for the value of #x# that will make the denominator 0.

#x-9=0#
#x=9#

The domain is the set of all real numbers except for 9.
#{x|x!=9}#