223k views
2 votes
If f(x)=3x+2 what is the equation for f^-1(x)

User Assasins
by
5.2k points

1 Answer

6 votes

Answer:

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

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

User TheSteven
by
5.8k points