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

why dog pants during summer use the cocept of evaporation
Which expression is equivalent to 27/125
Which expression is equivalent to 27/125
A sound wave of 70 cm travels 840 m in 2.5 sec. What is the velocity and frequency of sound?
What's the word for to talk on and on pointlessly, without clear direction
How to find the reference angle of -11pi/3 ?
Choose the more precise measurement in the pair.  A .) 6.7 mi or  B.) 6 mi
write a system of equations and solvea class of 195 students went on a field trip. They took 7 vehicles,some cars and some buses. find the number of cars and nu
if Xx8=y is the rule,and the value of x is 4, what is the value of y
what do I do to figure out this problem:3x+8=26+x