/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 52 In Problems 47鈥� 62, find the d... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 52 (page 69)

In Problems 47鈥� 62, find the domain of each function.

h(x)=2xx2-16

Short Answer

Expert verified

The domain of the given function is{x|x鈮�-4,x鈮�4}

Step by step solution

01

Step 1. Given Information 

In the given problems we have to find the domain of given function.

h(x)=2xx2-16

02

Step 2. The function h tells us to divide 2x by x2-16. 

Since division by 0is not defined, the denominator x2-16can never be 0, so xcan never equal -4or 4. The domain of the function h is{x|x鈮�-4,x鈮�4}.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A rectangle is inscribed in a circle of radius of 2. See the figure. Let P=x,ybe the point in quadrant I that is a vertex of the rectangle and is on the circle.

Part (a): Express the area Aof the rectangle as a function of x.

Part (b): Express the perimeter pof the rectangle as a function of x.

Part (c): Graph A=Ax. For what value of xis Alargest?

Part (d): Graph p=px. For what value ofxis p largest?

Exploration Graph y=x3,y=x5, and y=x7 on the same screen. What do you notice is the same about each graph? What do you notice that is different?

A wire 10meters long is to be cut into two pieces. One piece will be shaped as a square, and the other piece will be shaped as a circle. See the figure.

Part (a): Express the total area Aenclosed by the pieces of wire as a function of the length x of a side of the square.

Part (b): What is the domain of A?

Part (c): Graph A=Ax. For what value of xis Asmallest?

True or False The domain of the function f(x)=x2-4xis{x|x鈮�卤2}.

The interval (2, 5) can be written as the inequality ___________
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.