Question

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

(1) h is increasing whenever f is increasing 

(2) h is increasing whenever f is decreasing 

(3) h is decreasing whenever f is increasing 

(4) nothing can be said in general

Answer 1

Correct Option (1) h is increasing whenever f is increasing

Explanation:

∴ h increases with y or h is increasing whenever f(x) is increasing or equivalently h is decreasing whenever f(x) is decreasing.