Getting the domain of the function

Question

find the domain

Answer 1

The Domain is all real values except those that make the denominator equal to zero (0).

Answer 2

The roots of the denominator are:

X^2 -3X - 4 = (X -4)(X +1) =0 so X = 4 and X = -1 are the zeros of the denominator and since they are not the roots of the numerator then the domain of the function f(X) is all real numbers except -1 and 4.