4804167154
4804167154 4804167154
  • 02-06-2020
  • Mathematics
contestada

Show your work to prove that the inverse of f(x) is g(x).
f(x)= x+10
-------
2
g(x)=6x-5

Respuesta :

WeatheringWithYou
WeatheringWithYou WeatheringWithYou
  • 02-06-2020

Answer: The inverse of f(x) is not g(x).

Step-by-step explanation:

Steps taken:

  1. Swap x and y variables
  2. Solve for y
  3. Prove that the equations of f'(x) and g(x) are identical.

1.

[tex]f(x) = x + 10\\y = x + 10\\x = y + 10[/tex]

2.

[tex]x = y + 10\\y = x - 10[/tex]

The inverse of f(x) is x - 10, which does not match with g(x).

Answer Link

Otras preguntas

After a coup d’etat in Spain overthrew the government, Augustin de Iturbide proclaimed
Use inverse operations to solve X - 5.6 = -1.7
What acts as a mediator in disputes between unions and employers? Tennessee Valley Authority Securities and Exchange Commission Federal Deposit Insurance Corpor
Describe how interactions help the following living things survive: dandelion,hawk, honeybee
which river is most closely associated with Hinduism?
The term “Third Reich” refers to Germany from 1933 to 1945, during Hilter’s reign and means “third empire.”
3+-5+9+-6 Evaluate what the total score
how to estimate 19 divided bye 1,425
After Gregor turns into a giant insect in Franz Kafka’s The Metamorphosis, he is unable to communicate with his family. Why is that the case?
The enumeration [listing] in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people. Based on this text,