Question

QuestionEnter your answer as Ø if the function does not have a value

Answer 1

Answer:

12i

Explanation:

Given the function:

$h(x)=\sqrt[]{4x-128}$

At x=-4

$\begin{gathered} h(-4)=\sqrt[]{4(-4)-128} \\ =\sqrt[]{-16-128} \\ =\sqrt[]{-144} \\ =\sqrt[]{144\times-1} \\ =\sqrt[]{144}\times\sqrt[]{-1} \\ =12i\text{ where }\sqrt[]{-1}=i \end{gathered}$

At x=-4, the value of h(x) is 12i.

Note: The result obtained is a number in the complex number system. If the answer required is limited to the real number system, we can say the function h(x) does not have a value at x=-4.