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The denominator is x^2-3x-4.
Factor it to identify its roots x^2-3x-4 = (x-4)*(x+1).
Now you see that the roots are 4 and -1.
Hence, the domain is the set of all real numbers except of -1 and 4
(because division by zero is PROHIBITED).
ANSWER. The domain is the set of all real numbers except of -1 and 4.
Solved.