Chapter 11: Q7. (page 699)

State the excluded value for the function.
$y = \frac{1}{x - 6}$

Short Answer

Expert verified

The excluded value for the function $y = \frac{1}{x - 6}$ is $x = 6$ .

Step by step solution

Step 1. Define a rational function.

A function of the form $y = \frac{p}{q}$ is called a rational function, where $p$ and $q$ are the polynomials and $q \neq 0$ .

Step 2. Define the excluded values for the rational function.

Any value of a variable that results in a denominator of zero in a rational function is excluded from the domain of the function and these values are called the excluded values of the rational function.

Step 3. Calculate the excluded value for the function y=1x−6.

Observe the rational function $y = \frac{1}{x - 6}$ .

For excluded value,

Denominator $= 0$

$\begin{array}{l} x - 6 = 0 \\ x = 6 \end{array}$

Therefore the excluded value for the function $y = \frac{1}{x - 6}$ is $x = 6$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

State the excluded value for the function.
$y = \frac{1}{x - 6}$

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define the excluded values for the rational function.

Step 3. Calculate the excluded value for the function y=1x−6.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Geometry

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

State the excluded value for the function.y=1x−6

Short Answer

Step by step solution

Step 1. Define a rational function.

Step 2. Define the excluded values for the rational function.

Step 3. Calculate the excluded value for the function y=1x−6.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Geometry

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

State the excluded value for the function.
$y = \frac{1}{x - 6}$