Question

The domain of the function given below is the set of all real numbers greater than 1.A.TrueB.False

Answer 1

Given:

$f(x)=(\frac{1}{2})^x$

To Determine: The domain of the given function

Solution

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

For the given function

[tex]domain=-\inftyHence the domain is the set of all real numbers. The correct option is FALSE, OPTION B