Question 994751

you have {{{f(x)=1/(x-4)}}}

to have a real solution, you need to recall that denominator cannot be equal to zero

 for {{{x}}} you can choose any value except the value which makes {{{x-4=0}}} and that is {{{x=4}}}

so, domain is:

{ all {{{x}}} element of {{{R}}}: {{{x<>4}}} }


 in interval notation:

({{{-infinity}}},{{{4}}}) U ({{{4}}},{{{infinity}}})