Question

How do you find the domain and range of the inverse of the given function `f(x) = x^3 + 5`?

Answer 1

Since the function ha domain `(-oo,+oo)` and can assume every value in `(-oo,+oo)`,

and this is because `lim_(xrarr+-oo)f(x)=+-oo`,

the inverse function `f^-1(x)` has domain that is the range of `f(x)` and range, that is the domain of `f(x)`.