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Consider the following functions round your answer to two decimal places if necessary

Consider the following functions round your answer to two decimal places if necessary-example-1

1 Answer

4 votes

Solution

Step 1:


\begin{gathered} f(x)\text{ = }\sqrt{x\text{ + 2}} \\ \\ g(x)\text{ = }(x-2)/(2) \end{gathered}

Step 2


\begin{gathered} (\text{ f . g\rparen\lparen x\rparen = }\sqrt{(x-2)/(2)+2} \\ \\ (\text{ f . g\rparen\lparen x\rparen }=\text{ }\sqrt{\frac{x\text{ +2}}{2}} \end{gathered}

Step 3

Domain definition


\begin{gathered} The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values \\ \:for\:which\:the\:function\:is\:real\:and\:defined. \\ \mathrm{The\:function\:domain} \\ x\ge \:-2 \\ \\ \:\mathrm{Interval\:Notation:}\text{ \lbrack-2, }\infty) \end{gathered}

Final answer

Consider the following functions round your answer to two decimal places if necessary-example-1
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