please explainshow work Find the domain fx 14 xSolutionfx

please explain/show work

Solution

f(x) = 1 / 4 - x

domain is all values of x that a function can take in

since we cannot divide by zero in rational function

so finding values of x that will make denominator equal to 0

4 - x = 0

x = 4

hence, domain is all values of x except x = 4

interval notation

( -infinity , 4 ) U ( 4 , infinity )