AmyMichelle1 AmyMichelle1

22-10-2020
Mathematics

contestada

Use compositions to verify that g and g^-1 are in fact inverses.

g(x): 1/x+2
g^-1(x): 1/x - 2

Respuesta :

mikwind mikwind

22-10-2020

Answer:

as written there, they are not inverses

proof by counter example: since g(1) = 3 , but g^-1(3) = -5/3 != 1

Step-by-step explanation:

g(g^-1(x)) == x if they are indeed inverses

1/(1/x -2) + 2 = x/(1-2x) + 2 != x so, they are not inverses

Answer Link

Otras preguntas

All of the following are positive strategies for improving self-esteem EXCEPT:A.choosing good friendsB.improving self-imageC.strengthening integrityD.changing w

What did the colonists promise to do if King George III addressed their complaints in the Olive Branch Petition? lay down their weapons reopen the port of Bosto

Pietro estimated that a pair of Style King jeans would be worth 50 for its brand and durability. However, at the Style King store, the pair of jeans he wanted w

The Richter magnitude M is given by the model m=log(I/I_0) where I is the intensity of the earthquake in 100 km from the epicenter and I_0 is the smallest seism

Clement Corp., a pharmaceutical manufacturer, licensed a drug patent to Global Corp. for royalties of 5% of drug sales. Royalties are payable twice yearly on Ap

Assume that the price of a European call expiring in six-month with a strike price of $30 is $2. Suppose that the underlying stock price is $29, and a dividend

What happens to kids when their parents get deported and they dont have anyone who lives in the USA?

If the Leaning Tower of Pisa (which is roughly cylindrical) has a height of 55 meters, radius of 8 meters, what is the volume? A) 64π B) 440π C) 3520π D) 2

DNA replication is achieved by a process called ____________ replication, meaning that each new double helix includes an old strand from the parent DNA and a ne

Two of the MOST common signs of anaphylaxis are: Select one: a. watery eyes and localized itching. b. hypertension and swollen hands. c. urticaria and angioedem