To determine Whether the given statement is true or false Explanation Given: Statement: All linear functions with a nonzero slope have an inverse function. Function: A function is defined as a set of ordered pairs ( x , y ) such that for every element x in the domain, there corresponds exactly one element y in the range. One-to-one Function: A function f from A to B is said to be one-to-one function if whenever f ( a ) = f ( b ) then a = b . No element of B is the image more than one element in A . A function is one-to-one function if it satisfies both the vertical line test and horizontal line test. A function should satisfy the vertical line test to prove itself that it is a function. If the function clears horizontal line test then it is said to be one-to-one. A linear function can be written in its general form as y = m x + b where y is a function of x , b is a constant which is known as x − intercept, and the constant m is known as slope of the line. We can find the inverse of the given function algebraically by the following calculation. Calculation: Description: Step 1 : Write the given function for which we have to find inverse. y = m x + b . Step 2 : There is no need to replace the given functionby y . As the function itself is expressed in terms of y . y = m x + b . Step 3 : Interchange x a n d y

5th Edition

ISBN: 9781265179045

Author: Miller

Publisher: MCG CUSTOM

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Question

Chapter 8.2, Problem 47PE

To determine

Whether the given statement is true or false

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8.2, Problem 46PE

Chapter 8.2, Problem 48PE

Students have asked these similar questions

InThe Northern Lights are bright flashes of colored light between 50 and 200 miles above Earth. Suppose a flash occurs 150 miles above Earth. What is the measure of arc BD, the portion of Earth from which the flash is visible? (Earth’s radius is approximately 4000 miles.)

e). n! (n - 1)!

Suppose you flip a fair two-sided coin four times and record the result. a). List the sample space of this experiment. That is, list all possible outcomes that could occur when flipping a fair two-sided coin four total times. Assume the two sides of the coin are Heads (H) and Tails (T).

Chapter 8 Solutions

INTERMEDIATE ALG.-ALEKS 360 >CUSTOM<

Ch. 8.1 - a. Given the functions f and g, the function...Ch. 8.1 - Given fx=x2 and gx=2x3, find a. f2 b. g2 c. f+g2 Ch. 8.1 - Prob. 3PE Ch. 8.1 - For Exercise 3-14, refer to the function defined...Ch. 8.1 - For Exercise 3-14, refer to the function defined...Ch. 8.1 - Prob. 6PE Ch. 8.1 - Prob. 7PE Ch. 8.1 - Prob. 8PE Ch. 8.1 - For Exercise 3-14, refer to the function defined...Ch. 8.1 - Prob. 10PE

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.