Question

Identify the domain of the function represented below:y= 2√x4-3x ≥ 4O x ≥ 3Ox≥-3Ο x > 0

Answer 1

Solution

Step 1

Write the function

$y=2\sqrt{x-4}-3$

Step 2

$\begin{gathered} \mathrm{Domain\:definition} \\ The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values \\ \:for\:which\:the\:function\:is\:real\:and\:defined. \end{gathered}$

Step 3

To find the function domain, equate the expression in the square to at least zero.

$\begin{gathered} x\text{ - 4 }\ge\text{ 0} \\ \\ x\text{ }\ge\text{ 4} \end{gathered}$

Final answer