Answer:
The inverse of this function is:
[tex]f(x) = \sqrt[3]{x + 4} - 2[/tex]
Step-by-step explanation:
To find the inverse function, we can simply swap x and f(x) and solve for the latter:
[tex]x = (f(x) + 2)^3 - 4\\x + 4 = (f(x) + 2)^3\\\sqrt[3]{x + 4} = f(x) + 2\\f(x) = \sqrt[3]{x + 4} - 2[/tex]
