If c(x)= and d(x) = x + 3, what is the domain of (cd)(x)? all real values of x all real values of x except x = 2 all real values of x except x = –3 all real values of x except x = 2 and x = –3

now, for a fraction, if its denominator ever becomes 0, the fraction becomes undefined, because it'd be a division by 0.

when does that happen?  let's zero out the denominator to check,

x - 2 = 0, thus x = 2

so, if "x" ever becomes 2, the fractions goes kaput.

so, that domain is all real values except that one, that makes the fraction undefined.