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

exhalation removes from the body
what was a major reason that slavery expanded in the south in the first half of the 1800s?
what is Crushing chest pain caused by oxygen deprivation of the myocardium called?
which process separates duplicated genetic material within the nucleus of a parent cell to create two daughter cells with identical genetic material?
paul sold 162 cups of lemonade in 5 hours. about how many cups of lemonade did he sell each hour
find the distance between m(-2,3) and n (8,2)
Will upvote all answers. What is the range of the function? {(3, 2), (-6, 2), (7, 3), (8, 4)} A. {2,3,4} B. {7,3,8,4} C. {3,-6,7,8} D. {3,2,-6,2}
emily has a springer spaniel that weigh 48.9 pounds. she also has a cocker spaniel that weighs 24.8 pounds less that the springer spaniel. how many pounds does
How did renewed war in Europe affect American overseas trade
Can someone please explain "grammaticality"?