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

Solve each equation. |x+5|=-3
Help with is ixl please
Angle ABC is taken by a dilation with centerpoint, P and scale factor of four to angle A’B’C’ the measure of angle, BCA is 75° what is the measure of angle B’C’
A 16.0 kg canoe moving to the left at 10 m/s makes a head-on collision with a 19.0 kg raft moving to the right at 7.0 m/s. After the collision, the canoe moves
Solve each equation. |x+5|=-3
a and b are vectors that are not parallel. FG = 2a − 3b - Choose all of the vectors below which are parallel to FG. a-b10a-15 3a-2b-4a+6b 2a + 3b 2a-3b-4a 2a-12
a service station on the interstate changes $2.29 per gallon of gasoline and $1.89 per quart for oil. What would be a recourable amount to pay for 10 gallons of
Help me with ixl please
Drag the cards to create a two-digit number that matches these rules. Note: Not all cards will be used. ● 0 2 is one of the digits 10 is the nearest ten when ro
Consider the following inequality: −2(2z−3)≥2z+24 Step 1 of 2 : Write the solution using interval notation.