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Chapter 5: Q 39. (page 298)

Find the domain of the function.

Fx=log2x2

Short Answer

Expert verified

The domain of the given functionFxis-鈭�,鈭�.

Step by step solution

01

Step 1. Given information

A logarithmic function is given asFx=log2x2.

02

Step 2. Formula Used

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

03

Step 3. Finding The Domain

The function is Fx=log2x2

Now, for the domain,

x2>0

For all real x, the expression x2is positive.

The required domain of Fx, using

interval notation, is -鈭�,鈭�.

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