Question

What is the inverse of f(x)=9x^3-4

Answer 1

Answer:
`f^(-1) (x)` =
`\sqrt[3]{(x+4)/(9) }`

Explanation:

F(x) = y

Switch the x and y

• 9
  `y^(3)`-4 = x

Add 4 to both sides of the equation to begin isolating the y

• 9
  `y^(3)` = x + 4

Divide by 9 for both sides

• 
  `y^(3)` = (x + 4)/9

Finally, cubic roots on both sides and you have your answer

• 
  `f^(-1) (x)` =
  `\sqrt[3]{(x+4)/(9) }`