Q47. - Precalculus Enhanced with Graphing Utilities

Question

In Problems 37– 48, find the domain of each function.

$f\left(x\right)=\sqrt{\ln x}$

Step-by-Step Solution

Answer

The domain of the function is $[1,\hspace{0.17em}\infty \hspace{0.17em})$.

Step 1. Given information.

Consider the given function.

$f\left(x\right)=\sqrt{\ln x}$

Step 2. Find the domain.

Put the radical greater than equal to zero.

$\begin{array}{rcl}\ln x& \ge & 0\\ x& \ge & e^0\\ & \ge & 1\end{array}$

Thus, the domain of the function is $[1,\hspace{0.17em}\infty \hspace{0.17em})$