Answer:
[tex]f^{-1}[/tex] means the inverse function
[tex]f^{-1}[/tex] = [tex]\sqrt[3]{(x + 6)/5}[/tex]
Step-by-step explanation:
[tex]f^{-1}[/tex] 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
[tex]\sqrt[3]{(x + 6)/5}[/tex] = y
