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Chapter 11: Q. 8.141 (page 1069)

Find the domain of the functionfx=6x-5.

Write the domain in interval notation.

Short Answer

Expert verified

The domain of fx=6x-5is all values x鈮�56and in interval notationlocalid="1663565825585" [56,鈭�)

Step by step solution

01

Step 1. Given information

Since the function, fx=3x-4has a radical with an index of 2, which is even, we know the radicand must be greater than or equal to zero.

02

Step 2. Finding domain

We set the radicand to be greater than or equal to 0 and then solve to find the domain.6x-5鈮�06x鈮�5x鈮�56

Interval notation is[56,鈭�)

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Most popular questions from this chapter

In the following exercises, solve each rational inequality and write the solution in interval notation.

4(x-2)鈮�3(x+1)

In the following exercises, simplify.375y2+8y48-300y2

Simplify:

(a)2723

(b)81-32

(c)16-34

In the following exercises, find the function values for each polynomial function.

For the function f(x)=5x2-x-7, find:

(a) f(-4) (b) f(1) (c) f(0)

In the following exercises, factor.

鈭�4x3y5鈭�x2y3+12xy4.
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