Question

Which statement describes the domain of the function all real numbers all nonzero real numbers all real numbers except x =
all real numbers except x = –1 and x = 1

Answer 1

I don't get your question. Describe your question more

Answer 2

Answer:

Given:

             $f(x)=\frac { 3x }{ { 4x }^{ 2 }-4 }$

which is a rational function,

Since, a rational function is defined for all real numbers except for those numbers for which the denominator of the function becomes zero since the rational function itself is defined as function with denominator not equal to zero.

                  $4x^{ 2 }-4=0$

                  $4(x^{ 2 }-1) = 0$

                  $4(x - 1) (x+ 1) = 0$

                  $(x - 1) (x + 1) = 0$