Question

If f(x) = (x³ + 25), find the inverse of f.

Answer 1

y = ∛x - 25

Explanation:

To find the inverse function, swap x and y , and solve the resulting equation for x.

If the initial function is not one-to-one, than there will be more than one inverse.

So, swap the variables: y = x³ + 25 becomes x = y³ + 25

Now solve the equation, x = y³ + 25 for y.

y = ∛x - 25