Question

What is the inverse function of f(x)=2/3x-6

Answer 1

First change f(x) to y

y = 2/3x-6

Switch the y’s and x’s

x = 2/3y-6

Now get y by itself. Add 6 to both sides.

x+6 = 2/3y

Divide each side by 2/3

3/2x+9 = y

Change y to f^-1(x)

f^-1(x) = 3/2x+9 is the inverse.