Question

For the function f(x)=5x^3-6, find f^-1

Answer 1

`f^(-1)` means the inverse function

`f^(-1)` =
`\sqrt[3]{(x + 6)/5}`

Explanation:

`f^(-1)` means the inverse function

to find an inverse function, flip the x and y variables and solve for y

f(x) = 5x^3 - 6

y = 5x^3 - 6

x = 5y^3 - 6

x + 6 = 5y^3

(x + 6)/5 = y^3

`\sqrt[3]{(x + 6)/5}` = y