Answer:
1. The domain of the function is:
[tex]\lbrace x\in\Re:x\ne0\text{ and }x+a^2\ge0\rbrace[/tex]
2. To define f at x = 0, we need to substitute x by 0 in the given function. The result is infinity
Explanation:
Given the function:
[tex]f(x)=\frac{\sqrt{x+a^2}-a}{x},a>0[/tex]
1. The domain of the function is:
[tex]\lbrace x\in\Re:x\ne0\text{ and }x+a^2\ge0\rbrace[/tex]
2. To define f at x = 0, we need towe need to substitute x by 0 in the given function. The result is infinity
That is;
[tex]f(x)=\frac{\sqrt{0+a^2}-a}{0}=\infty[/tex]
