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Chapter 8: Q.367E (page 832)

In the following exercises, find the domain of the function and write the domain in interval notation.

fx=3x-1

Short Answer

Expert verified

Required domain in interval notation is[13,鈭�).

Step by step solution

01

Given information.

The functionfx=3x-1.

02

Find the domain.

Here, the given function fx=3x-1has a radical with index 2, which is even that means radicand must be greater than or equal to 0.

So,

3x-1鈮�03x鈮�1x鈮�13

03

Write domain in interval notation.

The domain obtained from step 2 is x鈮�13, that is all real numbers greater than or equal to 13.

Therefore, domain in interval notation can be written as:

role="math" localid="1645323777546" [13,鈭�)

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