What is f^-1(x) if f(x) =3(x-4) +2

Answer 1

switch x and y, then solve for the new y

y=3(x-4)+2

x=3(y-4) + 2

3y-12 = x-2

3y = x+10

y = x/3 + 10/3

f^-1(x) = x/3 + 10/3 = the inverse function of f(x)

f^-1(x) = (3(y-4)+2)/3 = y-4 + 2/3 + 10/3= y - 10/3 + 10/3 = y

f^(x) = y, f^-1(f(x)) = y