Answer:
The inverse of the function f(x) = 64x³ - 1 is [tex]\frac{\sqrt[3]{x+1}}{4}[/tex]
Step-by-step explanation:
First replace x with y.
[tex]x=64y^3-1[/tex]
Then solve for y.
[tex]y^3=\frac{x+1}{64}[/tex]
Cube root both sides.
[tex]y=\frac{\sqrt[3]{x+1}}{4}[/tex]
Hence, the inverse is [tex]\frac{\sqrt[3]{x+1}}{4}[/tex]
