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Chapter 5: Q 38. (page 298)

Find the domain of the function.
$g (x) = \ln (x - 1)$

Short Answer

Expert verified

The domain of the given function $g (x)$ is $(1, \infty)$ .

Step by step solution

01

Step 1. Given information

A logarithmic function is given as $g (x) = \ln (x - 1)$ .

02

Step 2. Formula Used

The domain of the logarithmic function $f (x) = \ln (x)$ is determined by $x > 0$ .

03

Step 3. Finding The Domain

The function is $g (x) = \ln (x - 1)$

Now, for the domain,

$x - 1 > 0$

On solving

$x > 1$

The required domain of $g (x)$ , using

interval notation, is $(1 . \infty)$ .

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solve each equation. Verify your results using a graphing utility.

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Answers are given at the end of these exercises. If you get a wrong answer, read the pages listed in red

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