Let f (x ) and g(x) be increasing and decreasing functions respectively from `[0,oo) "to" [ 0 , oo)` Let h (x) = fog (x) If h(0) =0 then h(x) is

Let f and g be increasing and decreasing functions,respectively,from [0,oo]to[0,oo] Let h(x)=f(g(x)). If h(0)=0, then h(x)-h(1) is always zero (b) always negative always positive (d) strictly increasing none of these

Let f:[0,oo)rarr[0,oo) and g:[0,oo)rarr[0,oo) be non-increasing and non-decreasing functions,respectively,and h(x)=g(f(x)) If f and g are differentiable functions,h(x)=g(f(x)). If f and g are differentiable for all points in their respective domains and h(0)=0, then show h(x) is always, identically zero.

Show that f(x)=(1)/(x) is a decreasing function on (0,oo)

Show that f(x)=(1)/(x) is decreasing function on (0,oo)

Let domain and range of f(x) and g(x) are respectively (0,oo). If f(x) be an increasing function g(x) be an decreasing function.Also,h(x)=f(g(x)),h(0)=0 and p(x)=h(x^(2)-2x^(2)+2x)-epsilon(4) then for every x in(0,2]

The function f : (0, oo) rarr [0, oo), f(x) = (x)/(1+x) is

The function f : [0,oo)to[0,oo) defined by f(x)=(2x)/(1+2x) is

Let f:[0, infty) to [0, infty) and g: [0, infty) to [0, infty) be two functions such that f is non-increasing and g is non-decreasing. Let h(x) = g(f(x)) AA x in [0, infty) . If h(0) =0 , then h(2020) is equal to

Let f (x), g(x) be two real valued functions then the function h(x) =2 max {f(x)-g(x), 0} is equal to :