Chapter 11: Q24. (page 731)

State the excluded value or values for each function.
$y = \frac{5}{x^{2} - 5 x - 24}$

Short Answer

Expert verified

Excluded values of the function are $8$ and $- 3$ .

Step by step solution

Step 1. Exclude the values.

Exclude the values for which $x^{2} - 5 x - 24$ equals 0.

$\begin{matrix} x^{2} - 5 x - 24 = 0 \\ (x + 3) (x - 8) = 0 \end{matrix}$

Step 2. Zero product property.

If $x y = 0$ then, either $x = 0$ or $y = 0$ .

Step 3. Zero product property.

Apply zero product property to above equation.

$x + 3 = 0 or x - 8 = 0 x = - 3 x = 8$

Therefore, $x \neq - 3$ and $x \neq 8$ .

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 or values for each function.
$y = \frac{5}{x^{2} - 5 x - 24}$

Short Answer

Step by step solution

Step 1. Exclude the values.

Step 2. Zero product property.

Step 3. Zero product property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

State the excluded value or values for each function.y=5x2−5x−24

Short Answer

Step by step solution

Step 1. Exclude the values.

Step 2. Zero product property.

Step 3. Zero product property.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Calculus

Theoretical and Mathematical Physics

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

State the excluded value or values for each function.
$y = \frac{5}{x^{2} - 5 x - 24}$