Find the Domain of mxx1x4 and write your answer in interval

Find the Domain of m(x)=x-1/x-4 and write your answer in interval notation.

Solution

m(x) = (x-1) / (x-4)

only constraint here is that denominator can\'t be 0

x-4 !=0

x != 4

So,

domain is:

R - {4} which can also be written as

(-int,4)U(4,inf)