Q 47. - Precalculus Enhanced with Graphing Utilities

Question

Find the domain : $f\left(x\right)=\sqrt{\ln \left(x\right)}$

Step-by-Step Solution

Answer

The domain of definition of the given function is : $[1,\infty )$

Step 1 : Given information

Given function is : $f\left(x\right)=\sqrt{\ln \left(x\right)}$

Step 2 : Finding the domain

Here, $x$ should be a positive real number to obtain and $\ln \left(x\right)$ should bepositive to obatin a real value.

If, $x\in (0,1)$, $\ln \left(x\right)$ will be undefined.

Hence, the domain of definition of the given function  is : $[1,\infty )$