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

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Answer 1 · 2015-04-14T13:33:13

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

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 $f(x)$ .

How do you find the domain and range of the inverse of the given function f(x) = x^3 + 5f(x)=x3+5f(x) = x^3 + 5?