Answer:
Yes, they are inverse functions.
Step-by-step explanation:
To determine if two functions are inverses of one another, put one in for the x in the other. If the result is f(x) = x, then they are inverses.
f(x) = [tex]\sqrt[3]{x-5}[/tex]
f(x) = [tex]\sqrt[3]{(x^3 + 5)-5}[/tex]
f(x) = [tex]\sqrt[3]{x^3}[/tex]
f(x) = x
So therefore, they are inverse of each other.
