Question

Find the inverse of the function. f(x) = 3x - 2

Answer 1

F-1(x)=(x+2)/3

Answer 2

f^-1(x) = (x+2)/3

Explanation:

To find the inverse of a function, exchange x and y and solve for y

y =3x-2

Exchange x and y

x =3y-2

Solve for y

Add 2 to each side

x+2=3y-2+2

x+2 = 3y

Divide each side by 3

(x+2)/3 =y

The inverse of the function is

f^-1(x) = (x+2)/3