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

True or False along a divergent boundary, two plates slip past each other,moving in opposite directions.
how might a scientist a determine  whether trait sex-linked by observing the offspring of several genetic crosses
A number cube is rolled 24 times and lands on 2 four times and on 6 three time. Find the experimental probability of not landing on a 6
a soccer team played 160 games and won 65% of them. how many did they win?
Which of the following is formed at a collision zone?Continental rift valleyVolcanic island chainMountain rangeDeep-ocean trench
a soccer team played 160 games and won 65% of them. how many did they win?
What is a group of organisms that look alike and can reproduce among their selfs ?
How did Alexander the Great rise to power and how did he spread Greek culture to other lands?
what is the simplest square root of 1345? no decimals please
What is a group of organisms that look alike and can reproduce among their selfs ?