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Chapter 5: Q 43. (page 298)

Find the domain of the function.

gx=ln1x+1

Short Answer

Expert verified

The domain of the given functionfxis-1,鈭�

Step by step solution

01

Step 1. Given information 

A logarithmic function is given as fx=ln1x+1

02

Step 2. Formula Used

The domain of the logarithmic function fx=lnx is determined byx>0

03

Step 3. Finding The Domain

The function is fx=ln1x+1

Now, for the domain,

1x+1>0

On solving

x+1x+12>0x+1>0x>-1

The required domain of fx, using

interval notation, is -1,鈭�.

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