Chapter 1.1, Problem 15CFU

To determine

To find:the domain for $f\left(x\right)=\sqrt{x+1}$ .

Answer to Problem 15CFU

  $\left\{x\right|x\ge -1\}$

Explanation of Solution

Given information: The function, $f\left(x\right)=\sqrt{x+1}$ .

In order to obtain a real number, the values under square root operator must be equal to or greater than zero.

Calculation:

In order to obtain a real number, the values under square root operator must be equal to or greater than zero, i.e.

  $x+1\ge 0$

To evaluate the domain, simplify the above inequality as follows:

  $\begin{array}{c}x+1\ge 0\\ x\ge -1\end{array}$

Therefore the domain is $\left\{x\right|x\ge -1\}$ .