Question

Determine the domain of the function h(x)=4x/(x(x^2-16))
A.) {x│x≠4}
B.) {x│x≠±4}
C.) {x│x≠±4,x≠0}
D.) {x│x≠±16,x≠0}

Answer 1

Answer:

C.) {x│x≠±4,x≠0}

Step-by-step explanation:

h(x)=4x/(x(x^2-16))

the Domain is limited by the denominator

the denominator cannot equal 0

x*(x^2-16 ) ≠ 0

x≠0  and x^2 -16≠0

            x^2≠ 16

            x≠ ±4