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

The emperors of Mali were known as Musas. Mansas. Malias. Menahs.
Currently, is our planet an open or closed system?
Which career field is an applied science? geology biotechnology physics chemistry
Areements with other countries that do not need approval are called
Was basketball and baseball invented in the northeast region
how would JROTC be in the future
What was the outcome of Polk’s expansionist policies in the Oregon Territory?
Unlike the system of justice in the united states , medieval justice sometimes relied upon
In what situation would an interviewer want to provide the interviewee a list of questions before the interview ? a. When the questions are technical and may r
solve for x and y -2x-y=-9 5x-2y=-9