Let `h(x)=f(x)-a(f(x))^(2)+a(f(x))^(3)`. If `h(x)` increases as `f(x)` increases for all real values of `x` if

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

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

Let g(x) =f(x)-2{f(x)}^2+9{f(x)}^3 for all x in R Then

Let h(x)=f(x)-(f(x))^(2)+(f(x))^(3) for every real number x. Then h is increasing whenever f is increasing h is increasing whenever f is decreasing h is decreasing whenever f is decreasing h is decreasing whenever f is decreasing nothing can be said in general

Let F(x)=1+f(x)+(f(x))^(2)+(f(x))^(3) where f(x) is an increasing differentiable function and F(x)=0 hasa positive root then

Let f(x) be a function such that f(x)=log_((1)/(3))(log_(3)(sin x+a)). If f(x) is decreasing for all real values of x, then

Let f(x) = inte^(x^(2))(x-2)(x-3)(x-4)dx then f increases on