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 years of fighting in the New England and Middle Colonies, British forces invaded Georgia, and South Carolina. Based on the area, why might the British hav
Gasoline costs $2.79 per gallon Is the number of gallons proportional to the total cost
Autocracy or Democracy: One person is in charge
Essay about the death penalty
If you deposit $800 in a savings account that earns simple interest at a pate of 1.5% per year, how much interest will you have earned after 5 years?
which expression has a value that is less than the Base of that expresion
Explain Each Part please!!! The cost C, in dollars , of building a concrete sidewalk varies directly with its lentgh , s, in meters A.. find an equat
How do you solve 6x + 8= 50
Is a owl a specialists or generalists
why are protein channels needed to transport substances