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}

Question

Mathematics

Camryn Moyer

27 February, 01:23

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}

+2

Answers (1)

Know the Answer?

Tatum Andersen · Answer 1

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

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}

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}