Chapter 1.2, Problem 66E

To determine

To find: the domain of the function.

Answer to Problem 66E

The domain is all real numbers $x$ such that $x>-15$ .

Explanation of Solution

Given information: $f\left(x\right)=\frac{\sqrt{x+15}}{15+x}$

Calculation: The domain of $f\left(x\right)$ is the set of all real numbers excluding those $x-$ values that yields zero in the denominator.

Here, $x=-15$ yield denominator to zero and $\sqrt{x+15}\ge 0\Rightarrow x\ge -15$

The domain is all real numbers $x$ such that $x>-15$ .