Chapter 11: Q. 8.141 (page 1069)

Find the domain of the function $f (x) = \sqrt{6 x - 5}$ .
Write the domain in interval notation.

Short Answer

Expert verified

The domain of $f (x) = \sqrt{6 x - 5}$ is all values $x \geq \frac{5}{6}$ and in interval notationlocalid="1663565825585" $[\frac{5}{6}, \infty)$

Step by step solution

Step 1. Given information

Since the function, $f (x) = \sqrt{3 x - 4}$ has a radical with an index of 2, which is even, we know the radicand must be greater than or equal to zero.

Step 2. Finding domain

We set the radicand to be greater than or equal to 0 and then solve to find the domain. $6 x - 5 \geq 0 6 x \geq 5 x \geq \frac{5}{6}$

Interval notation is $[\frac{5}{6}, \infty)$

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Find the domain of the function $f (x) = \sqrt{6 x - 5}$ .
Write the domain in interval notation.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding domain

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Find the domain of the functionfx=6x-5.Write the domain in interval notation.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Finding domain

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Study anywhere. Anytime. Across all devices.

Find the domain of the function $f (x) = \sqrt{6 x - 5}$ .
Write the domain in interval notation.