Question

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

(a) h ts increasing whenever f is increasing

(b) h is increasing whenever f is decreasing

(c) h is decreasing whenever f is decreasing

(d) nothing can be said in general

Answer 1

 Correct option 

(a) h ts increasing whenever f is increasing

(c) h is decreasing whenever f is decreasing

Explanation :

Therefore, h(x) is increasing function if f(x) is increasing function, and h(x) is decreasing function if f(x) is decreasing function.

Therefore, options (a) and (c) are correct answers.