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

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Answer 1 · 2016-09-25T07:11:14

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

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)#.