Question

Which statement describes the domain of the function f (x) = StartFraction 3 x Over 4 x squared minus 4 EndFraction?
all real numbers
all nonzero real numbers
all real numbers except x = Three-fourths
all real numbers except x = –1 and x = 1

Answer 1

All real numbers except x = –1 and x = 1

Reason: 4x^2 − 4 = 4(x−1)(x+1) = 0 when x = ±1, so those x are excluded from the domain.