Question

What's the inverse of ƒ(x) = 3x3 – 4?

Answer 1

Explanation:

y = 3x³ -4

the inverse is found by changing x with y and y with x than solve for y

x = 3y³ -4

x+4 = 3y³-4+4; add 4 to both sides

x+4 = 3y³

(x+4)/3 =y³ ;divide both sides by 3

∛((x+4)/3) = y ;cube root both sides

the inverse function of f(x) =3x³-4 is

`f(x)^(-1) =\sqrt[3]{(x+4)/(3) }`