Let \[h(x)=f(x)-{{(f(x))}^{2}}+{{(f(x))}^{3}}\] for every real number x. Then [IIT 1998]

h is increasing whenever f is decreasing

h is increasing whenever f is increasing

h is decreasing whenever f is decreasing

Let \[h(x)=f(x)-{{(f(x))}^{2}}+{{(f(x))}^{3}}\] for every real number

1.	Let \[h(x)=f(x)-{{(f(x))}^{2}}+{{(f(x))}^{3}}\] for every real number x. Then [IIT 1998]
A.	h is 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» B. h is increasing whenever f is decreasing

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Let \[h(x)=f(x)-{{(f(x))}^{2}}+{{(f(x))}^{3}}\] for every real number x. Then [IIT 1998]

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