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This is a Calculus 1 Problem. Show ALL your work, giving proper context, and make sureIt is written neatly, legibly, and with appropriate organizations. MUST SHOW ALL THE JUSTIFICATION OF THE PROBLEM!!!Question 1(1)

This is a Calculus 1 Problem Show ALL your work giving proper context and make sureIt is written neatly legibly and with appropriate organizations MUST SHOW ALL class=

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

step 1: Write the given function

[tex]f(x)=\frac{\sqrt{x+a^2}-a}{x},a>0[/tex]

STEP 2: Get the domain of f(x)

[tex]\begin{gathered} The\:domain\:of\:a\:function\:is\:the\:set\:of\:input\:or\:argument\:values\:for\:which\:the\:function\:is\: \\ real\:and\:defined \\ \\ Combine\:real\:regions\:and\:undefined\:points\:for\:final\:function\:domain \\ x\ge \:-a^2 \end{gathered}[/tex]

Hence, the domain of f will be:

[tex]x\ge-a^2[/tex]

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