Question

If f(x)=3x+2 what is the equation for f^-1(x)

Answer 1

Answer:

  f^-1(x) = (x -2)/3

Step-by-step explanation:

To find the inverse function, swap x and y, then solve for y.

  y = 3x +2 . . . . given function

  x = 3y +2 . . . . inverse relation

  x -2 = 3y . . . . subtract 2

  (x -2)/3 = y . . . divide by 3

f^-1(x) = (x -2)/3 . . . . in functional form