SOLUTION: Find the inverse of the function f(x) = x1/3 + 2. a. (x - 2)^3 b. x1/3 + 2 c. (y - 2)3 d. Doesn’t exist

Algebra ->  Rational-functions -> SOLUTION: Find the inverse of the function f(x) = x1/3 + 2. a. (x - 2)^3 b. x1/3 + 2 c. (y - 2)3 d. Doesn’t exist      Log On


   



Question 107007: Find the inverse of the function f(x) = x1/3 + 2.
a. (x - 2)^3
b. x1/3 + 2
c. (y - 2)3
d. Doesn’t exist

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^(1/3) + 2
y=x^(1/3)+2 replace f(x) with y
x=y^(1/3)+2 switch places of the y and x
x-2=y(1/3)
y=(x-2)^3 cube both sides
f^(-1)=(x-2)^3 Answer a.
Ed