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

A local tree farm is donating 50 trees. The students will plant some of the trees at the school and the rest at the library.
Which ethnic groups became a part of the United States by annexation? A. Mexicans and native Hawaiians B. Africans and Europeans C. Chinese D. All of the above
Which of the following is NOT a type of plate boundary? a. Convergent c. Transform b. Subduction zone d. All of the above are types of plate boundaries
Find the value of x. A 2 B 4.8 C 6 D 6.4
What did Tiberius Gracchus leader do that went AGAINST the principles of sharing power?
a bag with 10 marbles has 3 yellow marbles , 2 blue marbles, and 5 red marbles. A marble is chosen from the bag at random. What is the probability that it is ye
도움!!!!!!!!!13,20..... ​
If p(x)=x+2, find p(x) when x=28.
Help me with this please
Decisions as a result of Reed v. Reed include all of the following EXCEPT: a. States cannot exclude women from juries. b. Employers cannot mandate that women mu