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Chapter 9: Q. 4 (page 632)

What is the domain of the functionf(x)=ln(1-2x)?

Short Answer

Expert verified

The domain of the functionf(x)=ln(1-2x)is-鈭�,12.

Step by step solution

01

Step 1. Given data

The given function is

f(x)=ln(1-2x)

02

Step 2. Domain

As logarithm of a negative number is not defined

Therefore the function is not defined for

1-2x鈮�0-2x鈮�-1x鈮�12

The function is defined for all real numbers exceptx鈮�12

So the domain of the function is-鈭�,12

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