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Chapter 8: Q.369E (page 832)

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

gx=2-3x

Short Answer

Expert verified

The required domain in interval notation is(-鈭�,23].

Step by step solution

01

Given information.

The functiongx=2-3x.

02

Find the domain.

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

So,

2-3x鈮�03x鈮�2x鈮�23

03

Write the domain in interval notation.

The domain obtained from step 2 is x鈮�23, that is all real numbers less than or equal to 23.

Therefore, domain in interval notation can be written as:(-鈭�,23]

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