How do you find the domain for #f(x)=9/x#?

1 Answer
Sep 25, 2016

#"The Domain of "f = RR-{0)#.

Explanation:

As per the Defn. of #f#, we are supposed to to divide the no #9# by

a variable no. #x#.

Since, we can not divide by the no. #0#, we must have, #xne0#.

In other words, this means that to make #f# mathematically

meaningful , we can assign to #x# any value from the Set RR,

except , the no. #0#.

Such a Set becomes the Domain of a given Function, so,

#"The Domain of "f = RR-{0)#.