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Chapter 5: Q 41. (page 298)

Find the domain of the function.

fx=3-2log4x2-5

Short Answer

Expert verified

The domain of the given functionfxis10,鈭�.

Step by step solution

01

Step 1. Given information

A logarithmic function is given asfx=3-2log4x2-5

02

Step 2. Formula Used

The domain of the logarithmic function fx=logax is determined by x>0.

03

Step 3. Finding The Domain

The function is fx=3-2log4x2-5

Now, for the domain,

x2-5>0

On solving

x-10>0x>10

The required domain of fx, using

interval notation, is 10,鈭�.

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