Question

Select the correct answer.
Which function is the inverse of f(x) = -x^3 - 9?

Answer 1

(2)

Explanation:

Let f(x) = y → f-¹(x) = f(y) = x, f(y) is the inverse of f(x)

Thus,

=> -x³ - 9 = y

=> - y - 9 = x³

=> (-y - 9)^(1/3) = x

=> f(y) = x

Inverse is (-y-9)^(1/3)

Replacing the variable, inverse is (-x-9)^(1/3)

Option (2)