Answer:
The inverse of the function is
[tex] \sqrt[3]{x - 8} [/tex]
Step-by-step explanation:
To find the inverse of the function we equate f(x) to y
That's
f(x) = y
So we have
[tex]y = {x}^{3} + 8[/tex]
Next interchange the terms x becomes y and y becomes x
That's
[tex] x = {y}^{3} + 8[/tex]
Next make y the subject
That's
[tex] {y}^{3} = x - 8 \\ \\ y = \sqrt[3]{x - 8} [/tex]
Hope this helps you.
