MuadB105788 MuadB105788
  • 03-11-2022
  • Mathematics
contestada

Given the equation of the function, write the equation of the inverse, g(x). f(x) = 3x -1

Respuesta :

KambriaB148158 KambriaB148158
  • 03-11-2022

1. Replace f(x) with y:

y = 3x - 1

2. Replace every "x" with "y" and every "y" with "x":

x = 3y - 1

3. Solve for y:

Add 1 to both sides:

x + 1 = 3y -1 + 1

x + 1 = 3y

Divide both sides by 3:

(x + 1)/3 = 3y/3

y = (x + 1)/3

4. Replace y with f−1(x) :

f-1 (x) = (x + 1)/3

Answer Link

Otras preguntas

How do you work this problem?
In which decade was Martin Luther King Jr. born
The type of microscope that focuses beams of electrons on specimens
A man got into a fight and killed his opponent. when he went to trial, he had a mental breakdown. he did not know where he was and had hallucinations. he was un
Checklists and ratings scales can be sued to monitor children's developmental progress and to diagnose developmental delays. True False
The explanation of deviance as a learned behavior.
In which region did native american groups play a game similar to lacrosse?
The sales tax is $44.75 on a TV that sells for $895. What is the sales tax rate as a percentage?
twice a number + 5 is -3
What does article v of the constitution influence the changes that can be made to the constitution?