Open In App

Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Chapter 2: Q. 47 (page 69)

In Problems 47– 62, find the domain of each function.
$f (x) = - 5 x + 4$

Short Answer

Expert verified

The domain of the given function is the set of all real numbers.

Step by step solution

Step 1. Given Information

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

$f (x) = - 5 x + 4$

Step 2. The function tells us to subtract five times of a number and then add four.

Since these operations can be performed on any real number, we conclude that the domain of $f$ is the set of all real numbers.

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!

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

Match each graph to its function.

A. Constant function

B. Identity function

C. Square function

D. Cube function

E. Square root function

F. Reciprocal function

G. Absolute value function

H. Cube root function

In Problems 7–18, match each graph to one of the following functions:

$A . y = x^{2} + 2 B . y = - x^{2} + 2 C . y = |x| + 2 D . y = - |x| + 2 E . y = {(x - 2)}^{2} F . y = - {(x + 2)}^{2} G . y = |x - 2| H . y = - |x + 2| I . y = 2 x^{2} J . y = - 2 x^{2} K . y = 2 |x| L . y = - 2 |x|$

A rectangle has one corner in quadrant I on the graph of $y = 16 - x^{2}$ , another at the origin, a third on the positive y-axis and the fourth on the positive x-axis. See the figure.

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

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

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

Test the equation $y = 5 x^{2} - 1$ for symmetry with respect to the x-axis, the y-axis, and the origin.

Solve the inequality: $3 - 2 x > 5$ . Graph the solution set.

See all solutions

Recommended explanations on Math Textbooks

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free

In Problems 47– 62, find the domain of each function.
$f (x) = - 5 x + 4$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The function tells us to subtract five times of a number and then add four.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Company

Product

Help

In Problems 47– 62, find the domain of each function.f(x)=-5x+4

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The function tells us to subtract five times of a number and then add four.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Logic and Functions

Statistics

Pure Maths

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In Problems 47– 62, find the domain of each function.
$f (x) = - 5 x + 4$