Question

Let h(x) = f(x) - [f(x)]² + [f(x)]³ for every real number x. Then ____________.

Options

• h is increasing whenever f is increasing

• h is increasing whenever f is decreasing

• h is decreasing whenever f is increasing

• Nothing can be said in general

Answer 1

Let h(x) = f(x) - [f(x)]² + [f(x)]³ for every real number x. Then h is increasing whenever f is increasing.