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Chapter 5: Q 44. (page 298)

Find the domain of the function.

gx=ln1x-5

Short Answer

Expert verified

The domain of the given function gxis5,鈭�.

Step by step solution

01

Step 1. Given information

A logarithmic function is given asgx=ln1x-5.

02

Step 2. Formula Used

The domain of the logarithmic functionfx=lnxis determined by x>0.

03

Step 3. Finding The Domain

The function is f(x)=ln1x-5

Now, for the domain,

1x-5>0

On solving

role="math" localid="1648528769578" x-5x-52>0x-5>0x>5

The required domain of gx, using

interval notation, is -5,鈭�.

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