Answer:
[tex] y =\sqrt[3]{x} + 4[/tex]
Step-by-step explanation:
Here, the given function,
[tex]y=(x-4)^3[/tex]
For finding the inverse,
Step 1 : switch x and y,
[tex]x = (y-4)^3[/tex]
Step 2 : isolate y,
[tex]\sqrt[3]{x}=y-4[/tex]
[tex]\implies y =\sqrt[3]{x} + 4[/tex]
Which is the required inverse of the given function.
